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Finding the Fourth Proportional to 261,843.91, 361,344.84 and 148,666.66

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Solution

The fourth proportional to 261,843.91, 361,344.84 and 148,666.66 is: 205,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,843.91 : 361,344.84 = 148,666.66 : x
  2. Step 2: Convert to fraction form
    261,843.91/361,344.84 = 148,666.66/x
  3. Step 3: Cross multiply
    261,843.91x = 361,344.84 × 148,666.66
  4. Step 4: Simplify right side
    261,843.91x = 53,719,930,471.03
  5. Step 5: Solve for x
    x = 53,719,930,471.03/261,843.91
  6. Step 6: Final answer
    x = 205,160.13

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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.