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Finding the Fourth Proportional to 243,133.84, 335,260.18 and 158,093.20

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Solution

The fourth proportional to 243,133.84, 335,260.18 and 158,093.20 is: 217,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,133.84 : 335,260.18 = 158,093.20 : x
  2. Step 2: Convert to fraction form
    243,133.84/335,260.18 = 158,093.20/x
  3. Step 3: Cross multiply
    243,133.84x = 335,260.18 × 158,093.20
  4. Step 4: Simplify right side
    243,133.84x = 53,002,354,688.78
  5. Step 5: Solve for x
    x = 53,002,354,688.78/243,133.84
  6. Step 6: Final answer
    x = 217,996.62

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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.