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Finding the Fourth Proportional to 180,987.20, 271,480.80 and 167,865.20

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Solution

The fourth proportional to 180,987.20, 271,480.80 and 167,865.20 is: 251,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,987.20 : 271,480.80 = 167,865.20 : x
  2. Step 2: Convert to fraction form
    180,987.20/271,480.80 = 167,865.20/x
  3. Step 3: Cross multiply
    180,987.20x = 271,480.80 × 167,865.20
  4. Step 4: Simplify right side
    180,987.20x = 45,572,178,788.16
  5. Step 5: Solve for x
    x = 45,572,178,788.16/180,987.20
  6. Step 6: Final answer
    x = 251,797.80

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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.