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Finding the Fourth Proportional to 224,392.26, 309,661.30 and 123,790.26

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Solution

The fourth proportional to 224,392.26, 309,661.30 and 123,790.26 is: 170,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,392.26 : 309,661.30 = 123,790.26 : x
  2. Step 2: Convert to fraction form
    224,392.26/309,661.30 = 123,790.26/x
  3. Step 3: Cross multiply
    224,392.26x = 309,661.30 × 123,790.26
  4. Step 4: Simplify right side
    224,392.26x = 38,333,052,838.94
  5. Step 5: Solve for x
    x = 38,333,052,838.94/224,392.26
  6. Step 6: Final answer
    x = 170,830.55

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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.