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Finding the Fourth Proportional to 137,319.56, 206,000.40 and 58,412.60

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Solution

The fourth proportional to 137,319.56, 206,000.40 and 58,412.60 is: 87,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,319.56 : 206,000.40 = 58,412.60 : x
  2. Step 2: Convert to fraction form
    137,319.56/206,000.40 = 58,412.60/x
  3. Step 3: Cross multiply
    137,319.56x = 206,000.40 × 58,412.60
  4. Step 4: Simplify right side
    137,319.56x = 12,033,018,965.04
  5. Step 5: Solve for x
    x = 12,033,018,965.04/137,319.56
  6. Step 6: Final answer
    x = 87,627.86

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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.