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Finding the Fourth Proportional to 225,924.96, 311,778.84 and 123,950.64

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Solution

The fourth proportional to 225,924.96, 311,778.84 and 123,950.64 is: 171,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924.96 : 311,778.84 = 123,950.64 : x
  2. Step 2: Convert to fraction form
    225,924.96/311,778.84 = 123,950.64/x
  3. Step 3: Cross multiply
    225,924.96x = 311,778.84 × 123,950.64
  4. Step 4: Simplify right side
    225,924.96x = 38,645,186,756.46
  5. Step 5: Solve for x
    x = 38,645,186,756.46/225,924.96
  6. Step 6: Final answer
    x = 171,053.20

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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.