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Finding the Fourth Proportional to 222,478.38, 307,020.68 and 120,503.42

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Solution

The fourth proportional to 222,478.38, 307,020.68 and 120,503.42 is: 166,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,478.38 : 307,020.68 = 120,503.42 : x
  2. Step 2: Convert to fraction form
    222,478.38/307,020.68 = 120,503.42/x
  3. Step 3: Cross multiply
    222,478.38x = 307,020.68 × 120,503.42
  4. Step 4: Simplify right side
    222,478.38x = 36,997,041,950.73
  5. Step 5: Solve for x
    x = 36,997,041,950.73/222,478.38
  6. Step 6: Final answer
    x = 166,295.00

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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.