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Finding the Fourth Proportional to 270,601.12, 405,854.16 and 83,614.24

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Solution

The fourth proportional to 270,601.12, 405,854.16 and 83,614.24 is: 125,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,601.12 : 405,854.16 = 83,614.24 : x
  2. Step 2: Convert to fraction form
    270,601.12/405,854.16 = 83,614.24/x
  3. Step 3: Cross multiply
    270,601.12x = 405,854.16 × 83,614.24
  4. Step 4: Simplify right side
    270,601.12x = 33,935,187,139.24
  5. Step 5: Solve for x
    x = 33,935,187,139.24/270,601.12
  6. Step 6: Final answer
    x = 125,406.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.