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Finding the Fourth Proportional to 185,761.80, 278,314.65 and 152,300.70

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Solution

The fourth proportional to 185,761.80, 278,314.65 and 152,300.70 is: 228,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,761.80 : 278,314.65 = 152,300.70 : x
  2. Step 2: Convert to fraction form
    185,761.80/278,314.65 = 152,300.70/x
  3. Step 3: Cross multiply
    185,761.80x = 278,314.65 × 152,300.70
  4. Step 4: Simplify right side
    185,761.80x = 42,387,516,015.26
  5. Step 5: Solve for x
    x = 42,387,516,015.26/185,761.80
  6. Step 6: Final answer
    x = 228,182.09

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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.