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Finding the Fourth Proportional to 261,580.44, 360,970.38 and 148,400.76

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Solution

The fourth proportional to 261,580.44, 360,970.38 and 148,400.76 is: 204,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,580.44 : 360,970.38 = 148,400.76 : x
  2. Step 2: Convert to fraction form
    261,580.44/360,970.38 = 148,400.76/x
  3. Step 3: Cross multiply
    261,580.44x = 360,970.38 × 148,400.76
  4. Step 4: Simplify right side
    261,580.44x = 53,568,278,729.49
  5. Step 5: Solve for x
    x = 53,568,278,729.49/261,580.44
  6. Step 6: Final answer
    x = 204,787.02

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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.