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Finding the Fourth Proportional to 138,044.80, 207,285.90 and 100,865.80

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Solution

The fourth proportional to 138,044.80, 207,285.90 and 100,865.80 is: 151,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,044.80 : 207,285.90 = 100,865.80 : x
  2. Step 2: Convert to fraction form
    138,044.80/207,285.90 = 100,865.80/x
  3. Step 3: Cross multiply
    138,044.80x = 207,285.90 × 100,865.80
  4. Step 4: Simplify right side
    138,044.80x = 20,908,058,132.22
  5. Step 5: Solve for x
    x = 20,908,058,132.22/138,044.80
  6. Step 6: Final answer
    x = 151,458.50

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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.