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Finding the Fourth Proportional to 185,387.60, 278,081.40 and 138,731.60

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Solution

The fourth proportional to 185,387.60, 278,081.40 and 138,731.60 is: 208,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,387.60 : 278,081.40 = 138,731.60 : x
  2. Step 2: Convert to fraction form
    185,387.60/278,081.40 = 138,731.60/x
  3. Step 3: Cross multiply
    185,387.60x = 278,081.40 × 138,731.60
  4. Step 4: Simplify right side
    185,387.60x = 38,578,677,552.24
  5. Step 5: Solve for x
    x = 38,578,677,552.24/185,387.60
  6. Step 6: Final answer
    x = 208,097.40

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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.