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Finding the Fourth Proportional to 121,129.96, 181,719.24 and 42,223

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Solution

The fourth proportional to 121,129.96, 181,719.24 and 42,223 is: 63,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,129.96 : 181,719.24 = 42,223 : x
  2. Step 2: Convert to fraction form
    121,129.96/181,719.24 = 42,223/x
  3. Step 3: Cross multiply
    121,129.96x = 181,719.24 × 42,223
  4. Step 4: Simplify right side
    121,129.96x = 7,672,731,470.52
  5. Step 5: Solve for x
    x = 7,672,731,470.52/121,129.96
  6. Step 6: Final answer
    x = 63,342.97

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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.