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Finding the Fourth Proportional to 129,120, 178,195.32 and 78,828.72

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Solution

The fourth proportional to 129,120, 178,195.32 and 78,828.72 is: 108,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,120 : 178,195.32 = 78,828.72 : x
  2. Step 2: Convert to fraction form
    129,120/178,195.32 = 78,828.72/x
  3. Step 3: Cross multiply
    129,120x = 178,195.32 × 78,828.72
  4. Step 4: Simplify right side
    129,120x = 14,046,908,985.59
  5. Step 5: Solve for x
    x = 14,046,908,985.59/129,120
  6. Step 6: Final answer
    x = 108,789.57

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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.