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Finding the Fourth Proportional to 178,085.62, 267,205.62 and 98,025.76

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Solution

The fourth proportional to 178,085.62, 267,205.62 and 98,025.76 is: 147,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,085.62 : 267,205.62 = 98,025.76 : x
  2. Step 2: Convert to fraction form
    178,085.62/267,205.62 = 98,025.76/x
  3. Step 3: Cross multiply
    178,085.62x = 267,205.62 × 98,025.76
  4. Step 4: Simplify right side
    178,085.62x = 26,193,032,640.74
  5. Step 5: Solve for x
    x = 26,193,032,640.74/178,085.62
  6. Step 6: Final answer
    x = 147,081.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.