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Finding the Fourth Proportional to 180,967.80, 271,581.30 and 101,998.20

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Solution

The fourth proportional to 180,967.80, 271,581.30 and 101,998.20 is: 153,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,967.80 : 271,581.30 = 101,998.20 : x
  2. Step 2: Convert to fraction form
    180,967.80/271,581.30 = 101,998.20/x
  3. Step 3: Cross multiply
    180,967.80x = 271,581.30 × 101,998.20
  4. Step 4: Simplify right side
    180,967.80x = 27,700,803,753.66
  5. Step 5: Solve for x
    x = 27,700,803,753.66/180,967.80
  6. Step 6: Final answer
    x = 153,070.35

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1.5x scale

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.