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Finding the Fourth Proportional to 137,158.68, 205,582.50 and 58,223.64

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Solution

The fourth proportional to 137,158.68, 205,582.50 and 58,223.64 is: 87,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,158.68 : 205,582.50 = 58,223.64 : x
  2. Step 2: Convert to fraction form
    137,158.68/205,582.50 = 58,223.64/x
  3. Step 3: Cross multiply
    137,158.68x = 205,582.50 × 58,223.64
  4. Step 4: Simplify right side
    137,158.68x = 11,969,761,470.30
  5. Step 5: Solve for x
    x = 11,969,761,470.30/137,158.68
  6. Step 6: Final answer
    x = 87,269.44

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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.