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Finding the Fourth Proportional to 282,713.85, 423,461.80 and 132,729.39

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Solution

The fourth proportional to 282,713.85, 423,461.80 and 132,729.39 is: 198,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,713.85 : 423,461.80 = 132,729.39 : x
  2. Step 2: Convert to fraction form
    282,713.85/423,461.80 = 132,729.39/x
  3. Step 3: Cross multiply
    282,713.85x = 423,461.80 × 132,729.39
  4. Step 4: Simplify right side
    282,713.85x = 56,205,826,402.30
  5. Step 5: Solve for x
    x = 56,205,826,402.30/282,713.85
  6. Step 6: Final answer
    x = 198,808.18

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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.