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Finding the Fourth Proportional to 142,461.80, 213,711.90 and 48,996.20

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Solution

The fourth proportional to 142,461.80, 213,711.90 and 48,996.20 is: 73,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,461.80 : 213,711.90 = 48,996.20 : x
  2. Step 2: Convert to fraction form
    142,461.80/213,711.90 = 48,996.20/x
  3. Step 3: Cross multiply
    142,461.80x = 213,711.90 × 48,996.20
  4. Step 4: Simplify right side
    142,461.80x = 10,471,070,994.78
  5. Step 5: Solve for x
    x = 10,471,070,994.78/142,461.80
  6. Step 6: Final answer
    x = 73,500.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.