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Finding the Fourth Proportional to 119,165.52, 178,823.62 and 66,609.48

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Solution

The fourth proportional to 119,165.52, 178,823.62 and 66,609.48 is: 99,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,165.52 : 178,823.62 = 66,609.48 : x
  2. Step 2: Convert to fraction form
    119,165.52/178,823.62 = 66,609.48/x
  3. Step 3: Cross multiply
    119,165.52x = 178,823.62 × 66,609.48
  4. Step 4: Simplify right side
    119,165.52x = 11,911,348,339.92
  5. Step 5: Solve for x
    x = 11,911,348,339.92/119,165.52
  6. Step 6: Final answer
    x = 99,956.33

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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.