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Finding the Fourth Proportional to 156,139.19, 215,472.18 and 84,519.80

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Solution

The fourth proportional to 156,139.19, 215,472.18 and 84,519.80 is: 116,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,139.19 : 215,472.18 = 84,519.80 : x
  2. Step 2: Convert to fraction form
    156,139.19/215,472.18 = 84,519.80/x
  3. Step 3: Cross multiply
    156,139.19x = 215,472.18 × 84,519.80
  4. Step 4: Simplify right side
    156,139.19x = 18,211,665,559.16
  5. Step 5: Solve for x
    x = 18,211,665,559.16/156,139.19
  6. Step 6: Final answer
    x = 116,637.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.