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Finding the Fourth Proportional to 105,951.76, 146,226.12 and 63,508.88

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Solution

The fourth proportional to 105,951.76, 146,226.12 and 63,508.88 is: 87,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,951.76 : 146,226.12 = 63,508.88 : x
  2. Step 2: Convert to fraction form
    105,951.76/146,226.12 = 63,508.88/x
  3. Step 3: Cross multiply
    105,951.76x = 146,226.12 × 63,508.88
  4. Step 4: Simplify right side
    105,951.76x = 9,286,657,107.95
  5. Step 5: Solve for x
    x = 9,286,657,107.95/105,951.76
  6. Step 6: Final answer
    x = 87,649.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.