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Finding the Fourth Proportional to 200,920.16, 301,478.16 and 82,627.04

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Solution

The fourth proportional to 200,920.16, 301,478.16 and 82,627.04 is: 123,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.16 : 301,478.16 = 82,627.04 : x
  2. Step 2: Convert to fraction form
    200,920.16/301,478.16 = 82,627.04/x
  3. Step 3: Cross multiply
    200,920.16x = 301,478.16 × 82,627.04
  4. Step 4: Simplify right side
    200,920.16x = 24,910,247,985.45
  5. Step 5: Solve for x
    x = 24,910,247,985.45/200,920.16
  6. Step 6: Final answer
    x = 123,980.83

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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.