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Finding the Fourth Proportional to 225,507.96, 311,064.30 and 149,027.76

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Solution

The fourth proportional to 225,507.96, 311,064.30 and 149,027.76 is: 205,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,507.96 : 311,064.30 = 149,027.76 : x
  2. Step 2: Convert to fraction form
    225,507.96/311,064.30 = 149,027.76/x
  3. Step 3: Cross multiply
    225,507.96x = 311,064.30 × 149,027.76
  4. Step 4: Simplify right side
    225,507.96x = 46,357,215,844.97
  5. Step 5: Solve for x
    x = 46,357,215,844.97/225,507.96
  6. Step 6: Final answer
    x = 205,567.98

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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.