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Finding the Fourth Proportional to 169,286.86, 254,047.14 and 58,478.86

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Solution

The fourth proportional to 169,286.86, 254,047.14 and 58,478.86 is: 87,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,286.86 : 254,047.14 = 58,478.86 : x
  2. Step 2: Convert to fraction form
    169,286.86/254,047.14 = 58,478.86/x
  3. Step 3: Cross multiply
    169,286.86x = 254,047.14 × 58,478.86
  4. Step 4: Simplify right side
    169,286.86x = 14,856,387,133.46
  5. Step 5: Solve for x
    x = 14,856,387,133.46/169,286.86
  6. Step 6: Final answer
    x = 87,758.65

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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.