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Finding the Fourth Proportional to 109,568.96, 151,205.10 and 59,267.96

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Solution

The fourth proportional to 109,568.96, 151,205.10 and 59,267.96 is: 81,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,568.96 : 151,205.10 = 59,267.96 : x
  2. Step 2: Convert to fraction form
    109,568.96/151,205.10 = 59,267.96/x
  3. Step 3: Cross multiply
    109,568.96x = 151,205.10 × 59,267.96
  4. Step 4: Simplify right side
    109,568.96x = 8,961,617,818.60
  5. Step 5: Solve for x
    x = 8,961,617,818.60/109,568.96
  6. Step 6: Final answer
    x = 81,789.75

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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.