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Finding the Fourth Proportional to 293,695.80, 440,252.10 and 135,648.60

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Solution

The fourth proportional to 293,695.80, 440,252.10 and 135,648.60 is: 203,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,695.80 : 440,252.10 = 135,648.60 : x
  2. Step 2: Convert to fraction form
    293,695.80/440,252.10 = 135,648.60/x
  3. Step 3: Cross multiply
    293,695.80x = 440,252.10 × 135,648.60
  4. Step 4: Simplify right side
    293,695.80x = 59,719,581,012.06
  5. Step 5: Solve for x
    x = 59,719,581,012.06/293,695.80
  6. Step 6: Final answer
    x = 203,338.22

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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.