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Finding the Fourth Proportional to 222,947.30, 334,278.71 and 146,958.11

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Solution

The fourth proportional to 222,947.30, 334,278.71 and 146,958.11 is: 220,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,947.30 : 334,278.71 = 146,958.11 : x
  2. Step 2: Convert to fraction form
    222,947.30/334,278.71 = 146,958.11/x
  3. Step 3: Cross multiply
    222,947.30x = 334,278.71 × 146,958.11
  4. Step 4: Simplify right side
    222,947.30x = 49,124,967,535.74
  5. Step 5: Solve for x
    x = 49,124,967,535.74/222,947.30
  6. Step 6: Final answer
    x = 220,343.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.