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Finding the Fourth Proportional to 261,021.23, 360,209.33 and 147,843.98

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Solution

The fourth proportional to 261,021.23, 360,209.33 and 147,843.98 is: 204,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,021.23 : 360,209.33 = 147,843.98 : x
  2. Step 2: Convert to fraction form
    261,021.23/360,209.33 = 147,843.98/x
  3. Step 3: Cross multiply
    261,021.23x = 360,209.33 × 147,843.98
  4. Step 4: Simplify right side
    261,021.23x = 53,254,782,371.44
  5. Step 5: Solve for x
    x = 53,254,782,371.44/261,021.23
  6. Step 6: Final answer
    x = 204,024.71

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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.