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Finding the Fourth Proportional to 242,963.72, 335,298.26 and 140,981.48

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Solution

The fourth proportional to 242,963.72, 335,298.26 and 140,981.48 is: 194,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,963.72 : 335,298.26 = 140,981.48 : x
  2. Step 2: Convert to fraction form
    242,963.72/335,298.26 = 140,981.48/x
  3. Step 3: Cross multiply
    242,963.72x = 335,298.26 × 140,981.48
  4. Step 4: Simplify right side
    242,963.72x = 47,270,844,936.22
  5. Step 5: Solve for x
    x = 47,270,844,936.22/242,963.72
  6. Step 6: Final answer
    x = 194,559.27

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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.