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Finding the Fourth Proportional to 224,243.56, 309,454.86 and 123,641.56

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Solution

The fourth proportional to 224,243.56, 309,454.86 and 123,641.56 is: 170,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,243.56 : 309,454.86 = 123,641.56 : x
  2. Step 2: Convert to fraction form
    224,243.56/309,454.86 = 123,641.56/x
  3. Step 3: Cross multiply
    224,243.56x = 309,454.86 × 123,641.56
  4. Step 4: Simplify right side
    224,243.56x = 38,261,481,639.98
  5. Step 5: Solve for x
    x = 38,261,481,639.98/224,243.56
  6. Step 6: Final answer
    x = 170,624.66

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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.