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Finding the Fourth Proportional to 137,357.60, 206,059.66 and 47,375.88

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Solution

The fourth proportional to 137,357.60, 206,059.66 and 47,375.88 is: 71,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,357.60 : 206,059.66 = 47,375.88 : x
  2. Step 2: Convert to fraction form
    137,357.60/206,059.66 = 47,375.88/x
  3. Step 3: Cross multiply
    137,357.60x = 206,059.66 × 47,375.88
  4. Step 4: Simplify right side
    137,357.60x = 9,762,257,725.00
  5. Step 5: Solve for x
    x = 9,762,257,725.00/137,357.60
  6. Step 6: Final answer
    x = 71,071.84

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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.