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Finding the Fourth Proportional to 129,706.02, 178,967.07 and 78,745.59

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Solution

The fourth proportional to 129,706.02, 178,967.07 and 78,745.59 is: 108,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706.02 : 178,967.07 = 78,745.59 : x
  2. Step 2: Convert to fraction form
    129,706.02/178,967.07 = 78,745.59/x
  3. Step 3: Cross multiply
    129,706.02x = 178,967.07 × 78,745.59
  4. Step 4: Simplify right side
    129,706.02x = 14,092,867,517.72
  5. Step 5: Solve for x
    x = 14,092,867,517.72/129,706.02
  6. Step 6: Final answer
    x = 108,652.38

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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.