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Finding the Fourth Proportional to 107,052.92, 147,702.84 and 61,727.32

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Solution

The fourth proportional to 107,052.92, 147,702.84 and 61,727.32 is: 85,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,052.92 : 147,702.84 = 61,727.32 : x
  2. Step 2: Convert to fraction form
    107,052.92/147,702.84 = 61,727.32/x
  3. Step 3: Cross multiply
    107,052.92x = 147,702.84 × 61,727.32
  4. Step 4: Simplify right side
    107,052.92x = 9,117,300,469.59
  5. Step 5: Solve for x
    x = 9,117,300,469.59/107,052.92
  6. Step 6: Final answer
    x = 85,166.29

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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.