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Finding the Fourth Proportional to 262,633.74, 393,958.52 and 102,703.30

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Solution

The fourth proportional to 262,633.74, 393,958.52 and 102,703.30 is: 154,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,633.74 : 393,958.52 = 102,703.30 : x
  2. Step 2: Convert to fraction form
    262,633.74/393,958.52 = 102,703.30/x
  3. Step 3: Cross multiply
    262,633.74x = 393,958.52 × 102,703.30
  4. Step 4: Simplify right side
    262,633.74x = 40,460,840,067.12
  5. Step 5: Solve for x
    x = 40,460,840,067.12/262,633.74
  6. Step 6: Final answer
    x = 154,058.04

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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.