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Finding the Fourth Proportional to 261,609.44, 361,010.40 and 148,429.76

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Solution

The fourth proportional to 261,609.44, 361,010.40 and 148,429.76 is: 204,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,609.44 : 361,010.40 = 148,429.76 : x
  2. Step 2: Convert to fraction form
    261,609.44/361,010.40 = 148,429.76/x
  3. Step 3: Cross multiply
    261,609.44x = 361,010.40 × 148,429.76
  4. Step 4: Simplify right side
    261,609.44x = 53,584,687,029.50
  5. Step 5: Solve for x
    x = 53,584,687,029.50/261,609.44
  6. Step 6: Final answer
    x = 204,827.04

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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.