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Finding the Fourth Proportional to 137,580.48, 206,062.56 and 119,580.48

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Solution

The fourth proportional to 137,580.48, 206,062.56 and 119,580.48 is: 179,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.48 : 206,062.56 = 119,580.48 : x
  2. Step 2: Convert to fraction form
    137,580.48/206,062.56 = 119,580.48/x
  3. Step 3: Cross multiply
    137,580.48x = 206,062.56 × 119,580.48
  4. Step 4: Simplify right side
    137,580.48x = 24,641,059,834.83
  5. Step 5: Solve for x
    x = 24,641,059,834.83/137,580.48
  6. Step 6: Final answer
    x = 179,102.88

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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.