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Finding the Fourth Proportional to 222,943.38, 307,641.42 and 132,283.68

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Solution

The fourth proportional to 222,943.38, 307,641.42 and 132,283.68 is: 182,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,943.38 : 307,641.42 = 132,283.68 : x
  2. Step 2: Convert to fraction form
    222,943.38/307,641.42 = 132,283.68/x
  3. Step 3: Cross multiply
    222,943.38x = 307,641.42 × 132,283.68
  4. Step 4: Simplify right side
    222,943.38x = 40,695,939,158.03
  5. Step 5: Solve for x
    x = 40,695,939,158.03/222,943.38
  6. Step 6: Final answer
    x = 182,539.35

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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.