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Finding the Fourth Proportional to 138,585.16, 207,877.33 and 33,404.13

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Solution

The fourth proportional to 138,585.16, 207,877.33 and 33,404.13 is: 50,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,585.16 : 207,877.33 = 33,404.13 : x
  2. Step 2: Convert to fraction form
    138,585.16/207,877.33 = 33,404.13/x
  3. Step 3: Cross multiply
    138,585.16x = 207,877.33 × 33,404.13
  4. Step 4: Simplify right side
    138,585.16x = 6,943,961,355.37
  5. Step 5: Solve for x
    x = 6,943,961,355.37/138,585.16
  6. Step 6: Final answer
    x = 50,106.10

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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.