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Finding the Fourth Proportional to 218,077.02, 300,950.01 and 119,964.42

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Solution

The fourth proportional to 218,077.02, 300,950.01 and 119,964.42 is: 165,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,077.02 : 300,950.01 = 119,964.42 : x
  2. Step 2: Convert to fraction form
    218,077.02/300,950.01 = 119,964.42/x
  3. Step 3: Cross multiply
    218,077.02x = 300,950.01 × 119,964.42
  4. Step 4: Simplify right side
    218,077.02x = 36,103,293,398.64
  5. Step 5: Solve for x
    x = 36,103,293,398.64/218,077.02
  6. Step 6: Final answer
    x = 165,552.95

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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.