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Finding the Fourth Proportional to 222,586.38, 307,162.53 and 127,074.42

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Solution

The fourth proportional to 222,586.38, 307,162.53 and 127,074.42 is: 175,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,586.38 : 307,162.53 = 127,074.42 : x
  2. Step 2: Convert to fraction form
    222,586.38/307,162.53 = 127,074.42/x
  3. Step 3: Cross multiply
    222,586.38x = 307,162.53 × 127,074.42
  4. Step 4: Simplify right side
    222,586.38x = 39,032,500,345.48
  5. Step 5: Solve for x
    x = 39,032,500,345.48/222,586.38
  6. Step 6: Final answer
    x = 175,358.89

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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.