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Finding the Fourth Proportional to 189,251.92, 261,186.06 and 141,422.20

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Solution

The fourth proportional to 189,251.92, 261,186.06 and 141,422.20 is: 195,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,251.92 : 261,186.06 = 141,422.20 : x
  2. Step 2: Convert to fraction form
    189,251.92/261,186.06 = 141,422.20/x
  3. Step 3: Cross multiply
    189,251.92x = 261,186.06 × 141,422.20
  4. Step 4: Simplify right side
    189,251.92x = 36,937,507,214.53
  5. Step 5: Solve for x
    x = 36,937,507,214.53/189,251.92
  6. Step 6: Final answer
    x = 195,176.39

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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.