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Finding the Fourth Proportional to 230,294.64, 345,485.70 and 80,577.48

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Solution

The fourth proportional to 230,294.64, 345,485.70 and 80,577.48 is: 120,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,294.64 : 345,485.70 = 80,577.48 : x
  2. Step 2: Convert to fraction form
    230,294.64/345,485.70 = 80,577.48/x
  3. Step 3: Cross multiply
    230,294.64x = 345,485.70 × 80,577.48
  4. Step 4: Simplify right side
    230,294.64x = 27,838,367,082.04
  5. Step 5: Solve for x
    x = 27,838,367,082.04/230,294.64
  6. Step 6: Final answer
    x = 120,881.52

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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.