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Finding the Fourth Proportional to 138,590.40, 207,366.60 and 98,701.60

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Solution

The fourth proportional to 138,590.40, 207,366.60 and 98,701.60 is: 147,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,590.40 : 207,366.60 = 98,701.60 : x
  2. Step 2: Convert to fraction form
    138,590.40/207,366.60 = 98,701.60/x
  3. Step 3: Cross multiply
    138,590.40x = 207,366.60 × 98,701.60
  4. Step 4: Simplify right side
    138,590.40x = 20,467,415,206.56
  5. Step 5: Solve for x
    x = 20,467,415,206.56/138,590.40
  6. Step 6: Final answer
    x = 147,682.78

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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.