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Finding the Fourth Proportional to 131,583, 181,588.86 and 71,967

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Solution

The fourth proportional to 131,583, 181,588.86 and 71,967 is: 99,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,583 : 181,588.86 = 71,967 : x
  2. Step 2: Convert to fraction form
    131,583/181,588.86 = 71,967/x
  3. Step 3: Cross multiply
    131,583x = 181,588.86 × 71,967
  4. Step 4: Simplify right side
    131,583x = 13,068,405,487.62
  5. Step 5: Solve for x
    x = 13,068,405,487.62/131,583
  6. Step 6: Final answer
    x = 99,316.82

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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.