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Finding the Fourth Proportional to 119,097.92, 178,384.44 and 66,376.64

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Solution

The fourth proportional to 119,097.92, 178,384.44 and 66,376.64 is: 99,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,097.92 : 178,384.44 = 66,376.64 : x
  2. Step 2: Convert to fraction form
    119,097.92/178,384.44 = 66,376.64/x
  3. Step 3: Cross multiply
    119,097.92x = 178,384.44 × 66,376.64
  4. Step 4: Simplify right side
    119,097.92x = 11,840,559,755.48
  5. Step 5: Solve for x
    x = 11,840,559,755.48/119,097.92
  6. Step 6: Final answer
    x = 99,418.69

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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.