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Finding the Fourth Proportional to 168,713.54, 232,813.60 and 97,082.00

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Solution

The fourth proportional to 168,713.54, 232,813.60 and 97,082.00 is: 133,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,713.54 : 232,813.60 = 97,082.00 : x
  2. Step 2: Convert to fraction form
    168,713.54/232,813.60 = 97,082.00/x
  3. Step 3: Cross multiply
    168,713.54x = 232,813.60 × 97,082.00
  4. Step 4: Simplify right side
    168,713.54x = 22,602,008,508.43
  5. Step 5: Solve for x
    x = 22,602,008,508.43/168,713.54
  6. Step 6: Final answer
    x = 133,966.78

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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.