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Finding the Fourth Proportional to 129,236.31, 178,319.72 and 75,510.95

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Solution

The fourth proportional to 129,236.31, 178,319.72 and 75,510.95 is: 104,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,236.31 : 178,319.72 = 75,510.95 : x
  2. Step 2: Convert to fraction form
    129,236.31/178,319.72 = 75,510.95/x
  3. Step 3: Cross multiply
    129,236.31x = 178,319.72 × 75,510.95
  4. Step 4: Simplify right side
    129,236.31x = 13,465,090,758.11
  5. Step 5: Solve for x
    x = 13,465,090,758.11/129,236.31
  6. Step 6: Final answer
    x = 104,189.69

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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.