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Finding the Fourth Proportional to 233,191.96, 349,861.76 and 83,428.92

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Solution

The fourth proportional to 233,191.96, 349,861.76 and 83,428.92 is: 125,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,191.96 : 349,861.76 = 83,428.92 : x
  2. Step 2: Convert to fraction form
    233,191.96/349,861.76 = 83,428.92/x
  3. Step 3: Cross multiply
    233,191.96x = 349,861.76 × 83,428.92
  4. Step 4: Simplify right side
    233,191.96x = 29,188,588,786.10
  5. Step 5: Solve for x
    x = 29,188,588,786.10/233,191.96
  6. Step 6: Final answer
    x = 125,169.79

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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.