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Finding the Fourth Proportional to 225,783.23, 311,595.26 and 149,167.92

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Solution

The fourth proportional to 225,783.23, 311,595.26 and 149,167.92 is: 205,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,783.23 : 311,595.26 = 149,167.92 : x
  2. Step 2: Convert to fraction form
    225,783.23/311,595.26 = 149,167.92/x
  3. Step 3: Cross multiply
    225,783.23x = 311,595.26 × 149,167.92
  4. Step 4: Simplify right side
    225,783.23x = 46,480,017,238.70
  5. Step 5: Solve for x
    x = 46,480,017,238.70/225,783.23
  6. Step 6: Final answer
    x = 205,861.25

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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.