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Finding the Fourth Proportional to 185,625.60, 278,524.80 and 96,979.20

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Solution

The fourth proportional to 185,625.60, 278,524.80 and 96,979.20 is: 145,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,625.60 : 278,524.80 = 96,979.20 : x
  2. Step 2: Convert to fraction form
    185,625.60/278,524.80 = 96,979.20/x
  3. Step 3: Cross multiply
    185,625.60x = 278,524.80 × 96,979.20
  4. Step 4: Simplify right side
    185,625.60x = 27,011,112,284.16
  5. Step 5: Solve for x
    x = 27,011,112,284.16/185,625.60
  6. Step 6: Final answer
    x = 145,513.94

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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.