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Finding the Fourth Proportional to 185,902.76, 278,864.76 and 52,772.60

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Solution

The fourth proportional to 185,902.76, 278,864.76 and 52,772.60 is: 79,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,902.76 : 278,864.76 = 52,772.60 : x
  2. Step 2: Convert to fraction form
    185,902.76/278,864.76 = 52,772.60/x
  3. Step 3: Cross multiply
    185,902.76x = 278,864.76 × 52,772.60
  4. Step 4: Simplify right side
    185,902.76x = 14,716,418,433.58
  5. Step 5: Solve for x
    x = 14,716,418,433.58/185,902.76
  6. Step 6: Final answer
    x = 79,161.91

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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.