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Finding the Fourth Proportional to 118,305.16, 163,261.49 and 75,863.86

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Solution

The fourth proportional to 118,305.16, 163,261.49 and 75,863.86 is: 104,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,305.16 : 163,261.49 = 75,863.86 : x
  2. Step 2: Convert to fraction form
    118,305.16/163,261.49 = 75,863.86/x
  3. Step 3: Cross multiply
    118,305.16x = 163,261.49 × 75,863.86
  4. Step 4: Simplify right side
    118,305.16x = 12,385,646,820.75
  5. Step 5: Solve for x
    x = 12,385,646,820.75/118,305.16
  6. Step 6: Final answer
    x = 104,692.36

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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.