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Finding the Fourth Proportional to 102,201.93, 153,310.59 and 27,320.45

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Solution

The fourth proportional to 102,201.93, 153,310.59 and 27,320.45 is: 40,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201.93 : 153,310.59 = 27,320.45 : x
  2. Step 2: Convert to fraction form
    102,201.93/153,310.59 = 27,320.45/x
  3. Step 3: Cross multiply
    102,201.93x = 153,310.59 × 27,320.45
  4. Step 4: Simplify right side
    102,201.93x = 4,188,513,542.01
  5. Step 5: Solve for x
    x = 4,188,513,542.01/102,201.93
  6. Step 6: Final answer
    x = 40,982.72

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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.