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Finding the Fourth Proportional to 142,003.74, 211,842.69 and 138,142.77

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Solution

The fourth proportional to 142,003.74, 211,842.69 and 138,142.77 is: 206,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,003.74 : 211,842.69 = 138,142.77 : x
  2. Step 2: Convert to fraction form
    142,003.74/211,842.69 = 138,142.77/x
  3. Step 3: Cross multiply
    142,003.74x = 211,842.69 × 138,142.77
  4. Step 4: Simplify right side
    142,003.74x = 29,264,536,346.21
  5. Step 5: Solve for x
    x = 29,264,536,346.21/142,003.74
  6. Step 6: Final answer
    x = 206,082.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.