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Finding the Fourth Proportional to 261,559.76, 360,943.08 and 148,404.56

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Solution

The fourth proportional to 261,559.76, 360,943.08 and 148,404.56 is: 204,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,559.76 : 360,943.08 = 148,404.56 : x
  2. Step 2: Convert to fraction form
    261,559.76/360,943.08 = 148,404.56/x
  3. Step 3: Cross multiply
    261,559.76x = 360,943.08 × 148,404.56
  4. Step 4: Simplify right side
    261,559.76x = 53,565,598,972.44
  5. Step 5: Solve for x
    x = 53,565,598,972.44/261,559.76
  6. Step 6: Final answer
    x = 204,792.97

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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.