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Finding the Fourth Proportional to 142,791.80, 213,998.70 and 76,088.30

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Solution

The fourth proportional to 142,791.80, 213,998.70 and 76,088.30 is: 114,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,791.80 : 213,998.70 = 76,088.30 : x
  2. Step 2: Convert to fraction form
    142,791.80/213,998.70 = 76,088.30/x
  3. Step 3: Cross multiply
    142,791.80x = 213,998.70 × 76,088.30
  4. Step 4: Simplify right side
    142,791.80x = 16,282,797,285.21
  5. Step 5: Solve for x
    x = 16,282,797,285.21/142,791.80
  6. Step 6: Final answer
    x = 114,031.74

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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.