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Finding the Fourth Proportional to 138,908.40, 208,282.14 and 122,301.78

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Solution

The fourth proportional to 138,908.40, 208,282.14 and 122,301.78 is: 183,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908.40 : 208,282.14 = 122,301.78 : x
  2. Step 2: Convert to fraction form
    138,908.40/208,282.14 = 122,301.78/x
  3. Step 3: Cross multiply
    138,908.40x = 208,282.14 × 122,301.78
  4. Step 4: Simplify right side
    138,908.40x = 25,473,276,464.21
  5. Step 5: Solve for x
    x = 25,473,276,464.21/138,908.40
  6. Step 6: Final answer
    x = 183,381.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.