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Finding the Fourth Proportional to 142,431.80, 213,514.05 and 53,744.90

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Solution

The fourth proportional to 142,431.80, 213,514.05 and 53,744.90 is: 80,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,431.80 : 213,514.05 = 53,744.90 : x
  2. Step 2: Convert to fraction form
    142,431.80/213,514.05 = 53,744.90/x
  3. Step 3: Cross multiply
    142,431.80x = 213,514.05 × 53,744.90
  4. Step 4: Simplify right side
    142,431.80x = 11,475,291,265.85
  5. Step 5: Solve for x
    x = 11,475,291,265.85/142,431.80
  6. Step 6: Final answer
    x = 80,566.92

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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.