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Finding the Fourth Proportional to 222,487.38, 306,947.84 and 164,483.40

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Solution

The fourth proportional to 222,487.38, 306,947.84 and 164,483.40 is: 226,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,487.38 : 306,947.84 = 164,483.40 : x
  2. Step 2: Convert to fraction form
    222,487.38/306,947.84 = 164,483.40/x
  3. Step 3: Cross multiply
    222,487.38x = 306,947.84 × 164,483.40
  4. Step 4: Simplify right side
    222,487.38x = 50,487,824,345.86
  5. Step 5: Solve for x
    x = 50,487,824,345.86/222,487.38
  6. Step 6: Final answer
    x = 226,924.44

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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.