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Finding the Fourth Proportional to 201,897.90, 302,846.85 and 96,662.70

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Solution

The fourth proportional to 201,897.90, 302,846.85 and 96,662.70 is: 144,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.90 : 302,846.85 = 96,662.70 : x
  2. Step 2: Convert to fraction form
    201,897.90/302,846.85 = 96,662.70/x
  3. Step 3: Cross multiply
    201,897.90x = 302,846.85 × 96,662.70
  4. Step 4: Simplify right side
    201,897.90x = 29,273,994,207.50
  5. Step 5: Solve for x
    x = 29,273,994,207.50/201,897.90
  6. Step 6: Final answer
    x = 144,994.05

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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.