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Finding the Fourth Proportional to 138,900.16, 208,356 and 40,404.16

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Solution

The fourth proportional to 138,900.16, 208,356 and 40,404.16 is: 60,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900.16 : 208,356 = 40,404.16 : x
  2. Step 2: Convert to fraction form
    138,900.16/208,356 = 40,404.16/x
  3. Step 3: Cross multiply
    138,900.16x = 208,356 × 40,404.16
  4. Step 4: Simplify right side
    138,900.16x = 8,418,449,160.96
  5. Step 5: Solve for x
    x = 8,418,449,160.96/138,900.16
  6. Step 6: Final answer
    x = 60,607.92

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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.