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Finding the Fourth Proportional to 201,255.66, 301,893.84 and 51,497.28

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Solution

The fourth proportional to 201,255.66, 301,893.84 and 51,497.28 is: 77,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,255.66 : 301,893.84 = 51,497.28 : x
  2. Step 2: Convert to fraction form
    201,255.66/301,893.84 = 51,497.28/x
  3. Step 3: Cross multiply
    201,255.66x = 301,893.84 × 51,497.28
  4. Step 4: Simplify right side
    201,255.66x = 15,546,711,608.76
  5. Step 5: Solve for x
    x = 15,546,711,608.76/201,255.66
  6. Step 6: Final answer
    x = 77,248.57

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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.