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Finding the Fourth Proportional to 320,176.80, 480,265.44 and 83,519.20

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Solution

The fourth proportional to 320,176.80, 480,265.44 and 83,519.20 is: 125,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,176.80 : 480,265.44 = 83,519.20 : x
  2. Step 2: Convert to fraction form
    320,176.80/480,265.44 = 83,519.20/x
  3. Step 3: Cross multiply
    320,176.80x = 480,265.44 × 83,519.20
  4. Step 4: Simplify right side
    320,176.80x = 40,111,385,336.45
  5. Step 5: Solve for x
    x = 40,111,385,336.45/320,176.80
  6. Step 6: Final answer
    x = 125,278.86

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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.