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Finding the Fourth Proportional to 222,417.20, 333,674.40 and 110,151.20

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Solution

The fourth proportional to 222,417.20, 333,674.40 and 110,151.20 is: 165,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,417.20 : 333,674.40 = 110,151.20 : x
  2. Step 2: Convert to fraction form
    222,417.20/333,674.40 = 110,151.20/x
  3. Step 3: Cross multiply
    222,417.20x = 333,674.40 × 110,151.20
  4. Step 4: Simplify right side
    222,417.20x = 36,754,635,569.28
  5. Step 5: Solve for x
    x = 36,754,635,569.28/222,417.20
  6. Step 6: Final answer
    x = 165,250.87

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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.