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Finding the Fourth Proportional to 185,616.10, 278,424.15 and 138,960.10

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Solution

The fourth proportional to 185,616.10, 278,424.15 and 138,960.10 is: 208,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,616.10 : 278,424.15 = 138,960.10 : x
  2. Step 2: Convert to fraction form
    185,616.10/278,424.15 = 138,960.10/x
  3. Step 3: Cross multiply
    185,616.10x = 278,424.15 × 138,960.10
  4. Step 4: Simplify right side
    185,616.10x = 38,689,847,726.42
  5. Step 5: Solve for x
    x = 38,689,847,726.42/185,616.10
  6. Step 6: Final answer
    x = 208,440.15

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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.