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Finding the Fourth Proportional to 113,378.50, 156,462.33 and 63,077.50

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Solution

The fourth proportional to 113,378.50, 156,462.33 and 63,077.50 is: 87,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,378.50 : 156,462.33 = 63,077.50 : x
  2. Step 2: Convert to fraction form
    113,378.50/156,462.33 = 63,077.50/x
  3. Step 3: Cross multiply
    113,378.50x = 156,462.33 × 63,077.50
  4. Step 4: Simplify right side
    113,378.50x = 9,869,252,620.58
  5. Step 5: Solve for x
    x = 9,869,252,620.58/113,378.50
  6. Step 6: Final answer
    x = 87,046.95

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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.