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Finding the Fourth Proportional to 121,143.76, 181,663.80 and 42,234.64

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Solution

The fourth proportional to 121,143.76, 181,663.80 and 42,234.64 is: 63,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,143.76 : 181,663.80 = 42,234.64 : x
  2. Step 2: Convert to fraction form
    121,143.76/181,663.80 = 42,234.64/x
  3. Step 3: Cross multiply
    121,143.76x = 181,663.80 × 42,234.64
  4. Step 4: Simplify right side
    121,143.76x = 7,672,505,194.03
  5. Step 5: Solve for x
    x = 7,672,505,194.03/121,143.76
  6. Step 6: Final answer
    x = 63,333.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.