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Finding the Fourth Proportional to 202,484.10, 303,812.55 and 97,248.90

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Solution

The fourth proportional to 202,484.10, 303,812.55 and 97,248.90 is: 145,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,484.10 : 303,812.55 = 97,248.90 : x
  2. Step 2: Convert to fraction form
    202,484.10/303,812.55 = 97,248.90/x
  3. Step 3: Cross multiply
    202,484.10x = 303,812.55 × 97,248.90
  4. Step 4: Simplify right side
    202,484.10x = 29,545,436,293.70
  5. Step 5: Solve for x
    x = 29,545,436,293.70/202,484.10
  6. Step 6: Final answer
    x = 145,914.85

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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.