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Finding the Fourth Proportional to 185,881.12, 278,821.13 and 52,761.51

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Solution

The fourth proportional to 185,881.12, 278,821.13 and 52,761.51 is: 79,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,881.12 : 278,821.13 = 52,761.51 : x
  2. Step 2: Convert to fraction form
    185,881.12/278,821.13 = 52,761.51/x
  3. Step 3: Cross multiply
    185,881.12x = 278,821.13 × 52,761.51
  4. Step 4: Simplify right side
    185,881.12x = 14,711,023,574.90
  5. Step 5: Solve for x
    x = 14,711,023,574.90/185,881.12
  6. Step 6: Final answer
    x = 79,142.11

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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.