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Finding the Fourth Proportional to 142,287.84, 213,489.18 and 63,348.12

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Solution

The fourth proportional to 142,287.84, 213,489.18 and 63,348.12 is: 95,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,287.84 : 213,489.18 = 63,348.12 : x
  2. Step 2: Convert to fraction form
    142,287.84/213,489.18 = 63,348.12/x
  3. Step 3: Cross multiply
    142,287.84x = 213,489.18 × 63,348.12
  4. Step 4: Simplify right side
    142,287.84x = 13,524,138,193.34
  5. Step 5: Solve for x
    x = 13,524,138,193.34/142,287.84
  6. Step 6: Final answer
    x = 95,047.74

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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.