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Finding the Fourth Proportional to 224,425.60, 336,449.92 and 97,969.68

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Solution

The fourth proportional to 224,425.60, 336,449.92 and 97,969.68 is: 146,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,425.60 : 336,449.92 = 97,969.68 : x
  2. Step 2: Convert to fraction form
    224,425.60/336,449.92 = 97,969.68/x
  3. Step 3: Cross multiply
    224,425.60x = 336,449.92 × 97,969.68
  4. Step 4: Simplify right side
    224,425.60x = 32,961,890,998.43
  5. Step 5: Solve for x
    x = 32,961,890,998.43/224,425.60
  6. Step 6: Final answer
    x = 146,872.24

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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.