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Finding the Fourth Proportional to 142,353.99, 213,568.17 and 42,514.20

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Solution

The fourth proportional to 142,353.99, 213,568.17 and 42,514.20 is: 63,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,353.99 : 213,568.17 = 42,514.20 : x
  2. Step 2: Convert to fraction form
    142,353.99/213,568.17 = 42,514.20/x
  3. Step 3: Cross multiply
    142,353.99x = 213,568.17 × 42,514.20
  4. Step 4: Simplify right side
    142,353.99x = 9,079,679,893.01
  5. Step 5: Solve for x
    x = 9,079,679,893.01/142,353.99
  6. Step 6: Final answer
    x = 63,782.41

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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.