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Finding the Fourth Proportional to 224,020.73, 309,148.48 and 123,418.73

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Solution

The fourth proportional to 224,020.73, 309,148.48 and 123,418.73 is: 170,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,020.73 : 309,148.48 = 123,418.73 : x
  2. Step 2: Convert to fraction form
    224,020.73/309,148.48 = 123,418.73/x
  3. Step 3: Cross multiply
    224,020.73x = 309,148.48 × 123,418.73
  4. Step 4: Simplify right side
    224,020.73x = 38,154,712,783.03
  5. Step 5: Solve for x
    x = 38,154,712,783.03/224,020.73
  6. Step 6: Final answer
    x = 170,317.78

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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.