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Finding the Fourth Proportional to 178,892.64, 246,769.05 and 111,708

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Solution

The fourth proportional to 178,892.64, 246,769.05 and 111,708 is: 154,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,892.64 : 246,769.05 = 111,708 : x
  2. Step 2: Convert to fraction form
    178,892.64/246,769.05 = 111,708/x
  3. Step 3: Cross multiply
    178,892.64x = 246,769.05 × 111,708
  4. Step 4: Simplify right side
    178,892.64x = 27,566,077,037.40
  5. Step 5: Solve for x
    x = 27,566,077,037.40/178,892.64
  6. Step 6: Final answer
    x = 154,092.85

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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.