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Finding the Fourth Proportional to 222,566.90, 307,141.90 and 120,595.12

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Solution

The fourth proportional to 222,566.90, 307,141.90 and 120,595.12 is: 166,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,566.90 : 307,141.90 = 120,595.12 : x
  2. Step 2: Convert to fraction form
    222,566.90/307,141.90 = 120,595.12/x
  3. Step 3: Cross multiply
    222,566.90x = 307,141.90 × 120,595.12
  4. Step 4: Simplify right side
    222,566.90x = 37,039,814,421.20
  5. Step 5: Solve for x
    x = 37,039,814,421.20/222,566.90
  6. Step 6: Final answer
    x = 166,421.04

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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.