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Finding the Fourth Proportional to 137,794.52, 206,693.85 and 47,840.08

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Solution

The fourth proportional to 137,794.52, 206,693.85 and 47,840.08 is: 71,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,794.52 : 206,693.85 = 47,840.08 : x
  2. Step 2: Convert to fraction form
    137,794.52/206,693.85 = 47,840.08/x
  3. Step 3: Cross multiply
    137,794.52x = 206,693.85 × 47,840.08
  4. Step 4: Simplify right side
    137,794.52x = 9,888,250,319.51
  5. Step 5: Solve for x
    x = 9,888,250,319.51/137,794.52
  6. Step 6: Final answer
    x = 71,760.84

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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.