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Finding the Fourth Proportional to 230,515.24, 345,809.76 and 97,396.78

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Solution

The fourth proportional to 230,515.24, 345,809.76 and 97,396.78 is: 146,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,515.24 : 345,809.76 = 97,396.78 : x
  2. Step 2: Convert to fraction form
    230,515.24/345,809.76 = 97,396.78/x
  3. Step 3: Cross multiply
    230,515.24x = 345,809.76 × 97,396.78
  4. Step 4: Simplify right side
    230,515.24x = 33,680,757,116.57
  5. Step 5: Solve for x
    x = 33,680,757,116.57/230,515.24
  6. Step 6: Final answer
    x = 146,110.76

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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.