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Finding the Fourth Proportional to 292,082.50, 403,073.87 and 157,946.50

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Solution

The fourth proportional to 292,082.50, 403,073.87 and 157,946.50 is: 217,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,082.50 : 403,073.87 = 157,946.50 : x
  2. Step 2: Convert to fraction form
    292,082.50/403,073.87 = 157,946.50/x
  3. Step 3: Cross multiply
    292,082.50x = 403,073.87 × 157,946.50
  4. Step 4: Simplify right side
    292,082.50x = 63,664,107,007.96
  5. Step 5: Solve for x
    x = 63,664,107,007.96/292,082.50
  6. Step 6: Final answer
    x = 217,966.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.