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Finding the Fourth Proportional to 131,458, 181,416.52 and 71,845.84

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Solution

The fourth proportional to 131,458, 181,416.52 and 71,845.84 is: 99,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,458 : 181,416.52 = 71,845.84 : x
  2. Step 2: Convert to fraction form
    131,458/181,416.52 = 71,845.84/x
  3. Step 3: Cross multiply
    131,458x = 181,416.52 × 71,845.84
  4. Step 4: Simplify right side
    131,458x = 13,034,022,269.28
  5. Step 5: Solve for x
    x = 13,034,022,269.28/131,458
  6. Step 6: Final answer
    x = 99,149.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.