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Finding the Fourth Proportional to 201,497,097.64, 302,244,641.24 and 78,687,893.04

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Solution

The fourth proportional to 201,497,097.64, 302,244,641.24 and 78,687,893.04 is: 118,031,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497,097.64 : 302,244,641.24 = 78,687,893.04 : x
  2. Step 2: Convert to fraction form
    201,497,097.64/302,244,641.24 = 78,687,893.04/x
  3. Step 3: Cross multiply
    201,497,097.64x = 302,244,641.24 × 78,687,893.04
  4. Step 4: Simplify right side
    201,497,097.64x = 23,782,994,001,806,296
  5. Step 5: Solve for x
    x = 23,782,994,001,806,296/201,497,097.64
  6. Step 6: Final answer
    x = 118,031,447.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.