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Finding the Fourth Proportional to 133,078.40, 199,646.40 and 39,593.60

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Solution

The fourth proportional to 133,078.40, 199,646.40 and 39,593.60 is: 59,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078.40 : 199,646.40 = 39,593.60 : x
  2. Step 2: Convert to fraction form
    133,078.40/199,646.40 = 39,593.60/x
  3. Step 3: Cross multiply
    133,078.40x = 199,646.40 × 39,593.60
  4. Step 4: Simplify right side
    133,078.40x = 7,904,719,703.04
  5. Step 5: Solve for x
    x = 7,904,719,703.04/133,078.40
  6. Step 6: Final answer
    x = 59,398.97

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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.