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Finding the Fourth Proportional to 237,357, 327,589.30 and 135,382.68

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Solution

The fourth proportional to 237,357, 327,589.30 and 135,382.68 is: 186,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,357 : 327,589.30 = 135,382.68 : x
  2. Step 2: Convert to fraction form
    237,357/327,589.30 = 135,382.68/x
  3. Step 3: Cross multiply
    237,357x = 327,589.30 × 135,382.68
  4. Step 4: Simplify right side
    237,357x = 44,349,917,373.32
  5. Step 5: Solve for x
    x = 44,349,917,373.32/237,357
  6. Step 6: Final answer
    x = 186,849.00

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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.