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Finding the Fourth Proportional to 225,049.68, 310,321.26 and 144,446.76

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Solution

The fourth proportional to 225,049.68, 310,321.26 and 144,446.76 is: 199,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,049.68 : 310,321.26 = 144,446.76 : x
  2. Step 2: Convert to fraction form
    225,049.68/310,321.26 = 144,446.76/x
  3. Step 3: Cross multiply
    225,049.68x = 310,321.26 × 144,446.76
  4. Step 4: Simplify right side
    225,049.68x = 44,824,900,566.12
  5. Step 5: Solve for x
    x = 44,824,900,566.12/225,049.68
  6. Step 6: Final answer
    x = 199,177.80

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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.