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Finding the Fourth Proportional to 129,671.16, 178,963.74 and 75,977.61

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Solution

The fourth proportional to 129,671.16, 178,963.74 and 75,977.61 is: 104,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,671.16 : 178,963.74 = 75,977.61 : x
  2. Step 2: Convert to fraction form
    129,671.16/178,963.74 = 75,977.61/x
  3. Step 3: Cross multiply
    129,671.16x = 178,963.74 × 75,977.61
  4. Step 4: Simplify right side
    129,671.16x = 13,597,237,241.86
  5. Step 5: Solve for x
    x = 13,597,237,241.86/129,671.16
  6. Step 6: Final answer
    x = 104,859.38

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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.