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Finding the Fourth Proportional to 178,083.08, 267,260.02 and 65,869.44

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Solution

The fourth proportional to 178,083.08, 267,260.02 and 65,869.44 is: 98,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,083.08 : 267,260.02 = 65,869.44 : x
  2. Step 2: Convert to fraction form
    178,083.08/267,260.02 = 65,869.44/x
  3. Step 3: Cross multiply
    178,083.08x = 267,260.02 × 65,869.44
  4. Step 4: Simplify right side
    178,083.08x = 17,604,267,851.79
  5. Step 5: Solve for x
    x = 17,604,267,851.79/178,083.08
  6. Step 6: Final answer
    x = 98,854.24

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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.