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Finding the Fourth Proportional to 137,346.40, 206,019.60 and 58,463.20

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Solution

The fourth proportional to 137,346.40, 206,019.60 and 58,463.20 is: 87,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,346.40 : 206,019.60 = 58,463.20 : x
  2. Step 2: Convert to fraction form
    137,346.40/206,019.60 = 58,463.20/x
  3. Step 3: Cross multiply
    137,346.40x = 206,019.60 × 58,463.20
  4. Step 4: Simplify right side
    137,346.40x = 12,044,565,078.72
  5. Step 5: Solve for x
    x = 12,044,565,078.72/137,346.40
  6. Step 6: Final answer
    x = 87,694.80

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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.