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Finding the Fourth Proportional to 185,888.68, 278,849.82 and 52,770.28

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Solution

The fourth proportional to 185,888.68, 278,849.82 and 52,770.28 is: 79,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,888.68 : 278,849.82 = 52,770.28 : x
  2. Step 2: Convert to fraction form
    185,888.68/278,849.82 = 52,770.28/x
  3. Step 3: Cross multiply
    185,888.68x = 278,849.82 × 52,770.28
  4. Step 4: Simplify right side
    185,888.68x = 14,714,983,079.35
  5. Step 5: Solve for x
    x = 14,714,983,079.35/185,888.68
  6. Step 6: Final answer
    x = 79,160.19

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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.