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Finding the Fourth Proportional to 138,325.80, 207,488.70 and 85,837.80

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Solution

The fourth proportional to 138,325.80, 207,488.70 and 85,837.80 is: 128,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,325.80 : 207,488.70 = 85,837.80 : x
  2. Step 2: Convert to fraction form
    138,325.80/207,488.70 = 85,837.80/x
  3. Step 3: Cross multiply
    138,325.80x = 207,488.70 × 85,837.80
  4. Step 4: Simplify right side
    138,325.80x = 17,810,373,532.86
  5. Step 5: Solve for x
    x = 17,810,373,532.86/138,325.80
  6. Step 6: Final answer
    x = 128,756.70

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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.