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Finding the Fourth Proportional to 138,584.16, 207,875.84 and 33,403.13

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Solution

The fourth proportional to 138,584.16, 207,875.84 and 33,403.13 is: 50,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,584.16 : 207,875.84 = 33,403.13 : x
  2. Step 2: Convert to fraction form
    138,584.16/207,875.84 = 33,403.13/x
  3. Step 3: Cross multiply
    138,584.16x = 207,875.84 × 33,403.13
  4. Step 4: Simplify right side
    138,584.16x = 6,943,702,500.98
  5. Step 5: Solve for x
    x = 6,943,702,500.98/138,584.16
  6. Step 6: Final answer
    x = 50,104.59

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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.