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Finding the Fourth Proportional to 147,218.54, 220,823.09 and 61,874.61

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Solution

The fourth proportional to 147,218.54, 220,823.09 and 61,874.61 is: 92,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,218.54 : 220,823.09 = 61,874.61 : x
  2. Step 2: Convert to fraction form
    147,218.54/220,823.09 = 61,874.61/x
  3. Step 3: Cross multiply
    147,218.54x = 220,823.09 × 61,874.61
  4. Step 4: Simplify right side
    147,218.54x = 13,663,342,572.74
  5. Step 5: Solve for x
    x = 13,663,342,572.74/147,218.54
  6. Step 6: Final answer
    x = 92,809.93

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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.