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Finding the Fourth Proportional to 224,422.32, 336,396.24 and 97,951.68

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Solution

The fourth proportional to 224,422.32, 336,396.24 and 97,951.68 is: 146,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,422.32 : 336,396.24 = 97,951.68 : x
  2. Step 2: Convert to fraction form
    224,422.32/336,396.24 = 97,951.68/x
  3. Step 3: Cross multiply
    224,422.32x = 336,396.24 × 97,951.68
  4. Step 4: Simplify right side
    224,422.32x = 32,950,576,853.68
  5. Step 5: Solve for x
    x = 32,950,576,853.68/224,422.32
  6. Step 6: Final answer
    x = 146,823.97

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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.