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Finding the Fourth Proportional to 214,922.70, 322,384.05 and 165,098.70

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Solution

The fourth proportional to 214,922.70, 322,384.05 and 165,098.70 is: 247,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,922.70 : 322,384.05 = 165,098.70 : x
  2. Step 2: Convert to fraction form
    214,922.70/322,384.05 = 165,098.70/x
  3. Step 3: Cross multiply
    214,922.70x = 322,384.05 × 165,098.70
  4. Step 4: Simplify right side
    214,922.70x = 53,225,187,555.74
  5. Step 5: Solve for x
    x = 53,225,187,555.74/214,922.70
  6. Step 6: Final answer
    x = 247,648.05

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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.