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Finding the Fourth Proportional to 220,943.12, 304,804.52 and 149,297.04

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Solution

The fourth proportional to 220,943.12, 304,804.52 and 149,297.04 is: 205,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,943.12 : 304,804.52 = 149,297.04 : x
  2. Step 2: Convert to fraction form
    220,943.12/304,804.52 = 149,297.04/x
  3. Step 3: Cross multiply
    220,943.12x = 304,804.52 × 149,297.04
  4. Step 4: Simplify right side
    220,943.12x = 45,506,412,614.62
  5. Step 5: Solve for x
    x = 45,506,412,614.62/220,943.12
  6. Step 6: Final answer
    x = 205,964.38

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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.