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Finding the Fourth Proportional to 137,523.60, 206,285.40 and 58,645.80

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Solution

The fourth proportional to 137,523.60, 206,285.40 and 58,645.80 is: 87,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,523.60 : 206,285.40 = 58,645.80 : x
  2. Step 2: Convert to fraction form
    137,523.60/206,285.40 = 58,645.80/x
  3. Step 3: Cross multiply
    137,523.60x = 206,285.40 × 58,645.80
  4. Step 4: Simplify right side
    137,523.60x = 12,097,772,311.32
  5. Step 5: Solve for x
    x = 12,097,772,311.32/137,523.60
  6. Step 6: Final answer
    x = 87,968.70

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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.