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Finding the Fourth Proportional to 202,829.10, 304,330.05 and 97,593.90

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Solution

The fourth proportional to 202,829.10, 304,330.05 and 97,593.90 is: 146,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,829.10 : 304,330.05 = 97,593.90 : x
  2. Step 2: Convert to fraction form
    202,829.10/304,330.05 = 97,593.90/x
  3. Step 3: Cross multiply
    202,829.10x = 304,330.05 × 97,593.90
  4. Step 4: Simplify right side
    202,829.10x = 29,700,756,466.70
  5. Step 5: Solve for x
    x = 29,700,756,466.70/202,829.10
  6. Step 6: Final answer
    x = 146,432.42

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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.