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Finding the Fourth Proportional to 214,761.97, 296,439.51 and 151,285.51

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Solution

The fourth proportional to 214,761.97, 296,439.51 and 151,285.51 is: 208,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,761.97 : 296,439.51 = 151,285.51 : x
  2. Step 2: Convert to fraction form
    214,761.97/296,439.51 = 151,285.51/x
  3. Step 3: Cross multiply
    214,761.97x = 296,439.51 × 151,285.51
  4. Step 4: Simplify right side
    214,761.97x = 44,847,002,454.50
  5. Step 5: Solve for x
    x = 44,847,002,454.50/214,761.97
  6. Step 6: Final answer
    x = 208,821.90

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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.