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Finding the Fourth Proportional to 119,514.64, 179,242.80 and 49,414

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Solution

The fourth proportional to 119,514.64, 179,242.80 and 49,414 is: 74,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,514.64 : 179,242.80 = 49,414 : x
  2. Step 2: Convert to fraction form
    119,514.64/179,242.80 = 49,414/x
  3. Step 3: Cross multiply
    119,514.64x = 179,242.80 × 49,414
  4. Step 4: Simplify right side
    119,514.64x = 8,857,103,719.20
  5. Step 5: Solve for x
    x = 8,857,103,719.20/119,514.64
  6. Step 6: Final answer
    x = 74,108.94

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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.