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Finding the Fourth Proportional to 316,108.92, 474,092.40 and 91,419.24

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Solution

The fourth proportional to 316,108.92, 474,092.40 and 91,419.24 is: 137,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,108.92 : 474,092.40 = 91,419.24 : x
  2. Step 2: Convert to fraction form
    316,108.92/474,092.40 = 91,419.24/x
  3. Step 3: Cross multiply
    316,108.92x = 474,092.40 × 91,419.24
  4. Step 4: Simplify right side
    316,108.92x = 43,341,166,897.78
  5. Step 5: Solve for x
    x = 43,341,166,897.78/316,108.92
  6. Step 6: Final answer
    x = 137,108.33

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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.