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Finding the Fourth Proportional to 203,482.80, 305,008.20 and 98,233.20

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Solution

The fourth proportional to 203,482.80, 305,008.20 and 98,233.20 is: 147,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.80 : 305,008.20 = 98,233.20 : x
  2. Step 2: Convert to fraction form
    203,482.80/305,008.20 = 98,233.20/x
  3. Step 3: Cross multiply
    203,482.80x = 305,008.20 × 98,233.20
  4. Step 4: Simplify right side
    203,482.80x = 29,961,931,512.24
  5. Step 5: Solve for x
    x = 29,961,931,512.24/203,482.80
  6. Step 6: Final answer
    x = 147,245.52

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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.