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Finding the Fourth Proportional to 243,133.88, 335,541.66 and 135,724.88

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Solution

The fourth proportional to 243,133.88, 335,541.66 and 135,724.88 is: 187,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,133.88 : 335,541.66 = 135,724.88 : x
  2. Step 2: Convert to fraction form
    243,133.88/335,541.66 = 135,724.88/x
  3. Step 3: Cross multiply
    243,133.88x = 335,541.66 × 135,724.88
  4. Step 4: Simplify right side
    243,133.88x = 45,541,351,538.50
  5. Step 5: Solve for x
    x = 45,541,351,538.50/243,133.88
  6. Step 6: Final answer
    x = 187,309.77

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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.