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Finding the Fourth Proportional to 242,797.44, 335,084.96 and 140,854.08

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Solution

The fourth proportional to 242,797.44, 335,084.96 and 140,854.08 is: 194,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,797.44 : 335,084.96 = 140,854.08 : x
  2. Step 2: Convert to fraction form
    242,797.44/335,084.96 = 140,854.08/x
  3. Step 3: Cross multiply
    242,797.44x = 335,084.96 × 140,854.08
  4. Step 4: Simplify right side
    242,797.44x = 47,198,083,058.37
  5. Step 5: Solve for x
    x = 47,198,083,058.37/242,797.44
  6. Step 6: Final answer
    x = 194,392.84

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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.