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Finding the Fourth Proportional to 153,593.78, 230,356.11 and 55,097.78

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Solution

The fourth proportional to 153,593.78, 230,356.11 and 55,097.78 is: 82,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,593.78 : 230,356.11 = 55,097.78 : x
  2. Step 2: Convert to fraction form
    153,593.78/230,356.11 = 55,097.78/x
  3. Step 3: Cross multiply
    153,593.78x = 230,356.11 × 55,097.78
  4. Step 4: Simplify right side
    153,593.78x = 12,692,110,270.44
  5. Step 5: Solve for x
    x = 12,692,110,270.44/153,593.78
  6. Step 6: Final answer
    x = 82,634.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.