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Finding the Fourth Proportional to 214,732.70, 322,427.10 and 164,869.10

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Solution

The fourth proportional to 214,732.70, 322,427.10 and 164,869.10 is: 247,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,732.70 : 322,427.10 = 164,869.10 : x
  2. Step 2: Convert to fraction form
    214,732.70/322,427.10 = 164,869.10/x
  3. Step 3: Cross multiply
    214,732.70x = 322,427.10 × 164,869.10
  4. Step 4: Simplify right side
    214,732.70x = 53,158,265,792.61
  5. Step 5: Solve for x
    x = 53,158,265,792.61/214,732.70
  6. Step 6: Final answer
    x = 247,555.52

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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.