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Finding the Fourth Proportional to 123,808.14, 170,472.68 and 96,693.76

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Solution

The fourth proportional to 123,808.14, 170,472.68 and 96,693.76 is: 133,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,808.14 : 170,472.68 = 96,693.76 : x
  2. Step 2: Convert to fraction form
    123,808.14/170,472.68 = 96,693.76/x
  3. Step 3: Cross multiply
    123,808.14x = 170,472.68 × 96,693.76
  4. Step 4: Simplify right side
    123,808.14x = 16,483,644,406.48
  5. Step 5: Solve for x
    x = 16,483,644,406.48/123,808.14
  6. Step 6: Final answer
    x = 133,138.62

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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.