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Finding the Fourth Proportional to 214,097.66, 321,153.78 and 101,719.88

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Solution

The fourth proportional to 214,097.66, 321,153.78 and 101,719.88 is: 152,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097.66 : 321,153.78 = 101,719.88 : x
  2. Step 2: Convert to fraction form
    214,097.66/321,153.78 = 101,719.88/x
  3. Step 3: Cross multiply
    214,097.66x = 321,153.78 × 101,719.88
  4. Step 4: Simplify right side
    214,097.66x = 32,667,723,963.15
  5. Step 5: Solve for x
    x = 32,667,723,963.15/214,097.66
  6. Step 6: Final answer
    x = 152,583.28

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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.