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Finding the Fourth Proportional to 180,851.80, 271,407.30 and 101,882.20

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Solution

The fourth proportional to 180,851.80, 271,407.30 and 101,882.20 is: 152,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,851.80 : 271,407.30 = 101,882.20 : x
  2. Step 2: Convert to fraction form
    180,851.80/271,407.30 = 101,882.20/x
  3. Step 3: Cross multiply
    180,851.80x = 271,407.30 × 101,882.20
  4. Step 4: Simplify right side
    180,851.80x = 27,651,572,820.06
  5. Step 5: Solve for x
    x = 27,651,572,820.06/180,851.80
  6. Step 6: Final answer
    x = 152,896.31

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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.