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Finding the Fourth Proportional to 230,736.80, 318,439.08 and 140,071.76

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Solution

The fourth proportional to 230,736.80, 318,439.08 and 140,071.76 is: 193,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,736.80 : 318,439.08 = 140,071.76 : x
  2. Step 2: Convert to fraction form
    230,736.80/318,439.08 = 140,071.76/x
  3. Step 3: Cross multiply
    230,736.80x = 318,439.08 × 140,071.76
  4. Step 4: Simplify right side
    230,736.80x = 44,604,322,388.38
  5. Step 5: Solve for x
    x = 44,604,322,388.38/230,736.80
  6. Step 6: Final answer
    x = 193,312.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.