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Finding the Fourth Proportional to 214,088.40, 321,035.40 and 80,924.40

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Solution

The fourth proportional to 214,088.40, 321,035.40 and 80,924.40 is: 121,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,088.40 : 321,035.40 = 80,924.40 : x
  2. Step 2: Convert to fraction form
    214,088.40/321,035.40 = 80,924.40/x
  3. Step 3: Cross multiply
    214,088.40x = 321,035.40 × 80,924.40
  4. Step 4: Simplify right side
    214,088.40x = 25,979,597,123.76
  5. Step 5: Solve for x
    x = 25,979,597,123.76/214,088.40
  6. Step 6: Final answer
    x = 121,349.86

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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.