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Finding the Fourth Proportional to 189,200.10, 261,098.18 and 103,158.38

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Solution

The fourth proportional to 189,200.10, 261,098.18 and 103,158.38 is: 142,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200.10 : 261,098.18 = 103,158.38 : x
  2. Step 2: Convert to fraction form
    189,200.10/261,098.18 = 103,158.38/x
  3. Step 3: Cross multiply
    189,200.10x = 261,098.18 × 103,158.38
  4. Step 4: Simplify right side
    189,200.10x = 26,934,465,269.75
  5. Step 5: Solve for x
    x = 26,934,465,269.75/189,200.10
  6. Step 6: Final answer
    x = 142,359.68

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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.