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Finding the Fourth Proportional to 129,290.28, 178,419.42 and 72,702.06

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Solution

The fourth proportional to 129,290.28, 178,419.42 and 72,702.06 is: 100,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,290.28 : 178,419.42 = 72,702.06 : x
  2. Step 2: Convert to fraction form
    129,290.28/178,419.42 = 72,702.06/x
  3. Step 3: Cross multiply
    129,290.28x = 178,419.42 × 72,702.06
  4. Step 4: Simplify right side
    129,290.28x = 12,971,459,378.01
  5. Step 5: Solve for x
    x = 12,971,459,378.01/129,290.28
  6. Step 6: Final answer
    x = 100,328.19

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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.