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Finding the Fourth Proportional to 222,971.19, 334,507.86 and 96,632.65

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Solution

The fourth proportional to 222,971.19, 334,507.86 and 96,632.65 is: 144,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.19 : 334,507.86 = 96,632.65 : x
  2. Step 2: Convert to fraction form
    222,971.19/334,507.86 = 96,632.65/x
  3. Step 3: Cross multiply
    222,971.19x = 334,507.86 × 96,632.65
  4. Step 4: Simplify right side
    222,971.19x = 32,324,381,375.76
  5. Step 5: Solve for x
    x = 32,324,381,375.76/222,971.19
  6. Step 6: Final answer
    x = 144,971.11

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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.