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Finding the Fourth Proportional to 222,582.83, 307,161.14 and 120,605.90

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Solution

The fourth proportional to 222,582.83, 307,161.14 and 120,605.90 is: 166,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,582.83 : 307,161.14 = 120,605.90 : x
  2. Step 2: Convert to fraction form
    222,582.83/307,161.14 = 120,605.90/x
  3. Step 3: Cross multiply
    222,582.83x = 307,161.14 × 120,605.90
  4. Step 4: Simplify right side
    222,582.83x = 37,045,443,595.89
  5. Step 5: Solve for x
    x = 37,045,443,595.89/222,582.83
  6. Step 6: Final answer
    x = 166,434.42

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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.