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Finding the Fourth Proportional to 202,874.70, 304,312.05 and 97,668.30

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Solution

The fourth proportional to 202,874.70, 304,312.05 and 97,668.30 is: 146,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,874.70 : 304,312.05 = 97,668.30 : x
  2. Step 2: Convert to fraction form
    202,874.70/304,312.05 = 97,668.30/x
  3. Step 3: Cross multiply
    202,874.70x = 304,312.05 × 97,668.30
  4. Step 4: Simplify right side
    202,874.70x = 29,721,640,593.02
  5. Step 5: Solve for x
    x = 29,721,640,593.02/202,874.70
  6. Step 6: Final answer
    x = 146,502.45

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