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Finding the Fourth Proportional to 214,107.60, 321,164.10 and 101,799.48

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Solution

The fourth proportional to 214,107.60, 321,164.10 and 101,799.48 is: 152,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,107.60 : 321,164.10 = 101,799.48 : x
  2. Step 2: Convert to fraction form
    214,107.60/321,164.10 = 101,799.48/x
  3. Step 3: Cross multiply
    214,107.60x = 321,164.10 × 101,799.48
  4. Step 4: Simplify right side
    214,107.60x = 32,694,338,374.67
  5. Step 5: Solve for x
    x = 32,694,338,374.67/214,107.60
  6. Step 6: Final answer
    x = 152,700.50

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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.