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Finding the Fourth Proportional to 137,297.62, 189,471.18 and 76,868.38

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Solution

The fourth proportional to 137,297.62, 189,471.18 and 76,868.38 is: 106,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,297.62 : 189,471.18 = 76,868.38 : x
  2. Step 2: Convert to fraction form
    137,297.62/189,471.18 = 76,868.38/x
  3. Step 3: Cross multiply
    137,297.62x = 189,471.18 × 76,868.38
  4. Step 4: Simplify right side
    137,297.62x = 14,564,342,663.29
  5. Step 5: Solve for x
    x = 14,564,342,663.29/137,297.62
  6. Step 6: Final answer
    x = 106,078.62

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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.