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Finding the Fourth Proportional to 214,507.89, 296,063.91 and 123,878.61

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Solution

The fourth proportional to 214,507.89, 296,063.91 and 123,878.61 is: 170,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,507.89 : 296,063.91 = 123,878.61 : x
  2. Step 2: Convert to fraction form
    214,507.89/296,063.91 = 123,878.61/x
  3. Step 3: Cross multiply
    214,507.89x = 296,063.91 × 123,878.61
  4. Step 4: Simplify right side
    214,507.89x = 36,675,985,641.97
  5. Step 5: Solve for x
    x = 36,675,985,641.97/214,507.89
  6. Step 6: Final answer
    x = 170,977.33

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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.