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Finding the Fourth Proportional to 224,068.25, 309,229.17 and 123,466.25

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Solution

The fourth proportional to 224,068.25, 309,229.17 and 123,466.25 is: 170,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,068.25 : 309,229.17 = 123,466.25 : x
  2. Step 2: Convert to fraction form
    224,068.25/309,229.17 = 123,466.25/x
  3. Step 3: Cross multiply
    224,068.25x = 309,229.17 × 123,466.25
  4. Step 4: Simplify right side
    224,068.25x = 38,179,366,010.51
  5. Step 5: Solve for x
    x = 38,179,366,010.51/224,068.25
  6. Step 6: Final answer
    x = 170,391.68

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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.