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Finding the Fourth Proportional to 129,702.46, 178,989.69 and 73,113.84

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Solution

The fourth proportional to 129,702.46, 178,989.69 and 73,113.84 is: 100,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702.46 : 178,989.69 = 73,113.84 : x
  2. Step 2: Convert to fraction form
    129,702.46/178,989.69 = 73,113.84/x
  3. Step 3: Cross multiply
    129,702.46x = 178,989.69 × 73,113.84
  4. Step 4: Simplify right side
    129,702.46x = 13,086,622,661.36
  5. Step 5: Solve for x
    x = 13,086,622,661.36/129,702.46
  6. Step 6: Final answer
    x = 100,897.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.