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Finding the Fourth Proportional to 136,141.84, 204,212.76 and 62,218

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Solution

The fourth proportional to 136,141.84, 204,212.76 and 62,218 is: 93,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,141.84 : 204,212.76 = 62,218 : x
  2. Step 2: Convert to fraction form
    136,141.84/204,212.76 = 62,218/x
  3. Step 3: Cross multiply
    136,141.84x = 204,212.76 × 62,218
  4. Step 4: Simplify right side
    136,141.84x = 12,705,709,501.68
  5. Step 5: Solve for x
    x = 12,705,709,501.68/136,141.84
  6. Step 6: Final answer
    x = 93,327

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.