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Finding the Fourth Proportional to 243,180.97, 335,595.39 and 152,540.75

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Solution

The fourth proportional to 243,180.97, 335,595.39 and 152,540.75 is: 210,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,180.97 : 335,595.39 = 152,540.75 : x
  2. Step 2: Convert to fraction form
    243,180.97/335,595.39 = 152,540.75/x
  3. Step 3: Cross multiply
    243,180.97x = 335,595.39 × 152,540.75
  4. Step 4: Simplify right side
    243,180.97x = 51,191,972,754.10
  5. Step 5: Solve for x
    x = 51,191,972,754.10/243,180.97
  6. Step 6: Final answer
    x = 210,509.78

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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.