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Finding the Fourth Proportional to 178,073.91, 267,024.60 and 65,806.97

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Solution

The fourth proportional to 178,073.91, 267,024.60 and 65,806.97 is: 98,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,073.91 : 267,024.60 = 65,806.97 : x
  2. Step 2: Convert to fraction form
    178,073.91/267,024.60 = 65,806.97/x
  3. Step 3: Cross multiply
    178,073.91x = 267,024.60 × 65,806.97
  4. Step 4: Simplify right side
    178,073.91x = 17,572,078,506.34
  5. Step 5: Solve for x
    x = 17,572,078,506.34/178,073.91
  6. Step 6: Final answer
    x = 98,678.57

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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.