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Finding the Fourth Proportional to 185,952.73, 278,818.22 and 73,649.06

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Solution

The fourth proportional to 185,952.73, 278,818.22 and 73,649.06 is: 110,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,952.73 : 278,818.22 = 73,649.06 : x
  2. Step 2: Convert to fraction form
    185,952.73/278,818.22 = 73,649.06/x
  3. Step 3: Cross multiply
    185,952.73x = 278,818.22 × 73,649.06
  4. Step 4: Simplify right side
    185,952.73x = 20,534,700,695.04
  5. Step 5: Solve for x
    x = 20,534,700,695.04/185,952.73
  6. Step 6: Final answer
    x = 110,429.68

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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.