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Finding the Fourth Proportional to 189,560.38, 261,651.24 and 116,985.46

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Solution

The fourth proportional to 189,560.38, 261,651.24 and 116,985.46 is: 161,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,560.38 : 261,651.24 = 116,985.46 : x
  2. Step 2: Convert to fraction form
    189,560.38/261,651.24 = 116,985.46/x
  3. Step 3: Cross multiply
    189,560.38x = 261,651.24 × 116,985.46
  4. Step 4: Simplify right side
    189,560.38x = 30,609,390,670.97
  5. Step 5: Solve for x
    x = 30,609,390,670.97/189,560.38
  6. Step 6: Final answer
    x = 161,475.68

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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.