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Finding the Fourth Proportional to 136,974.75, 189,024.62 and 76,545.38

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Solution

The fourth proportional to 136,974.75, 189,024.62 and 76,545.38 is: 105,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,974.75 : 189,024.62 = 76,545.38 : x
  2. Step 2: Convert to fraction form
    136,974.75/189,024.62 = 76,545.38/x
  3. Step 3: Cross multiply
    136,974.75x = 189,024.62 × 76,545.38
  4. Step 4: Simplify right side
    136,974.75x = 14,468,960,039.41
  5. Step 5: Solve for x
    x = 14,468,960,039.41/136,974.75
  6. Step 6: Final answer
    x = 105,632.32

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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.