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Finding the Fourth Proportional to 261,445.22, 360,794.40 and 148,267.97

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Solution

The fourth proportional to 261,445.22, 360,794.40 and 148,267.97 is: 204,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,445.22 : 360,794.40 = 148,267.97 : x
  2. Step 2: Convert to fraction form
    261,445.22/360,794.40 = 148,267.97/x
  3. Step 3: Cross multiply
    261,445.22x = 360,794.40 × 148,267.97
  4. Step 4: Simplify right side
    261,445.22x = 53,494,253,102.38
  5. Step 5: Solve for x
    x = 53,494,253,102.38/261,445.22
  6. Step 6: Final answer
    x = 204,609.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.