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Finding the Fourth Proportional to 224,441.76, 309,736.12 and 123,846.24

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Solution

The fourth proportional to 224,441.76, 309,736.12 and 123,846.24 is: 170,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,441.76 : 309,736.12 = 123,846.24 : x
  2. Step 2: Convert to fraction form
    224,441.76/309,736.12 = 123,846.24/x
  3. Step 3: Cross multiply
    224,441.76x = 309,736.12 × 123,846.24
  4. Step 4: Simplify right side
    224,441.76x = 38,359,653,854.19
  5. Step 5: Solve for x
    x = 38,359,653,854.19/224,441.76
  6. Step 6: Final answer
    x = 170,911.39

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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.