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Finding the Fourth Proportional to 224,342.71, 309,588.02 and 123,740.71

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Solution

The fourth proportional to 224,342.71, 309,588.02 and 123,740.71 is: 170,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,342.71 : 309,588.02 = 123,740.71 : x
  2. Step 2: Convert to fraction form
    224,342.71/309,588.02 = 123,740.71/x
  3. Step 3: Cross multiply
    224,342.71x = 309,588.02 × 123,740.71
  4. Step 4: Simplify right side
    224,342.71x = 38,308,640,473.65
  5. Step 5: Solve for x
    x = 38,308,640,473.65/224,342.71
  6. Step 6: Final answer
    x = 170,759.46

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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.