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Finding the Fourth Proportional to 242,376.56, 363,441.82 and 181,851.34

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Solution

The fourth proportional to 242,376.56, 363,441.82 and 181,851.34 is: 272,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,376.56 : 363,441.82 = 181,851.34 : x
  2. Step 2: Convert to fraction form
    242,376.56/363,441.82 = 181,851.34/x
  3. Step 3: Cross multiply
    242,376.56x = 363,441.82 × 181,851.34
  4. Step 4: Simplify right side
    242,376.56x = 66,092,381,979.04
  5. Step 5: Solve for x
    x = 66,092,381,979.04/242,376.56
  6. Step 6: Final answer
    x = 272,684.71

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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.