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Finding the Fourth Proportional to 242,796.68, 335,083.92 and 140,853.32

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Solution

The fourth proportional to 242,796.68, 335,083.92 and 140,853.32 is: 194,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,796.68 : 335,083.92 = 140,853.32 : x
  2. Step 2: Convert to fraction form
    242,796.68/335,083.92 = 140,853.32/x
  3. Step 3: Cross multiply
    242,796.68x = 335,083.92 × 140,853.32
  4. Step 4: Simplify right side
    242,796.68x = 47,197,683,448.32
  5. Step 5: Solve for x
    x = 47,197,683,448.32/242,796.68
  6. Step 6: Final answer
    x = 194,391.80

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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.