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Finding the Fourth Proportional to 119,326.64, 178,748.19 and 55,193.63

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Solution

The fourth proportional to 119,326.64, 178,748.19 and 55,193.63 is: 82,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,326.64 : 178,748.19 = 55,193.63 : x
  2. Step 2: Convert to fraction form
    119,326.64/178,748.19 = 55,193.63/x
  3. Step 3: Cross multiply
    119,326.64x = 178,748.19 × 55,193.63
  4. Step 4: Simplify right side
    119,326.64x = 9,865,760,568.29
  5. Step 5: Solve for x
    x = 9,865,760,568.29/119,326.64
  6. Step 6: Final answer
    x = 82,678.61

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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.