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Finding the Fourth Proportional to 142,042.68, 213,008.67 and 53,247.75

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Solution

The fourth proportional to 142,042.68, 213,008.67 and 53,247.75 is: 79,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,042.68 : 213,008.67 = 53,247.75 : x
  2. Step 2: Convert to fraction form
    142,042.68/213,008.67 = 53,247.75/x
  3. Step 3: Cross multiply
    142,042.68x = 213,008.67 × 53,247.75
  4. Step 4: Simplify right side
    142,042.68x = 11,342,232,407.99
  5. Step 5: Solve for x
    x = 11,342,232,407.99/142,042.68
  6. Step 6: Final answer
    x = 79,850.88

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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.