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Finding the Fourth Proportional to 214,860.80, 322,022.40 and 109,721.60

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Solution

The fourth proportional to 214,860.80, 322,022.40 and 109,721.60 is: 164,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,860.80 : 322,022.40 = 109,721.60 : x
  2. Step 2: Convert to fraction form
    214,860.80/322,022.40 = 109,721.60/x
  3. Step 3: Cross multiply
    214,860.80x = 322,022.40 × 109,721.60
  4. Step 4: Simplify right side
    214,860.80x = 35,332,812,963.84
  5. Step 5: Solve for x
    x = 35,332,812,963.84/214,860.80
  6. Step 6: Final answer
    x = 164,445.13

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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.