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Finding the Fourth Proportional to 214,603.20, 321,775.20 and 96,252.48

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Solution

The fourth proportional to 214,603.20, 321,775.20 and 96,252.48 is: 144,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,603.20 : 321,775.20 = 96,252.48 : x
  2. Step 2: Convert to fraction form
    214,603.20/321,775.20 = 96,252.48/x
  3. Step 3: Cross multiply
    214,603.20x = 321,775.20 × 96,252.48
  4. Step 4: Simplify right side
    214,603.20x = 30,971,661,002.50
  5. Step 5: Solve for x
    x = 30,971,661,002.50/214,603.20
  6. Step 6: Final answer
    x = 144,320.59

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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.