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Finding the Fourth Proportional to 261,062.88, 360,324.72 and 147,948

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Solution

The fourth proportional to 261,062.88, 360,324.72 and 147,948 is: 204,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,062.88 : 360,324.72 = 147,948 : x
  2. Step 2: Convert to fraction form
    261,062.88/360,324.72 = 147,948/x
  3. Step 3: Cross multiply
    261,062.88x = 360,324.72 × 147,948
  4. Step 4: Simplify right side
    261,062.88x = 53,309,321,674.56
  5. Step 5: Solve for x
    x = 53,309,321,674.56/261,062.88
  6. Step 6: Final answer
    x = 204,201.08

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1.5x scale

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.