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Finding the Fourth Proportional to 222,884.50, 307,586.01 and 122,282.50

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Solution

The fourth proportional to 222,884.50, 307,586.01 and 122,282.50 is: 168,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,884.50 : 307,586.01 = 122,282.50 : x
  2. Step 2: Convert to fraction form
    222,884.50/307,586.01 = 122,282.50/x
  3. Step 3: Cross multiply
    222,884.50x = 307,586.01 × 122,282.50
  4. Step 4: Simplify right side
    222,884.50x = 37,612,386,267.83
  5. Step 5: Solve for x
    x = 37,612,386,267.83/222,884.50
  6. Step 6: Final answer
    x = 168,752.81

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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.