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Finding the Fourth Proportional to 222,972.69, 334,510.11 and 96,634.16

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Solution

The fourth proportional to 222,972.69, 334,510.11 and 96,634.16 is: 144,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,972.69 : 334,510.11 = 96,634.16 : x
  2. Step 2: Convert to fraction form
    222,972.69/334,510.11 = 96,634.16/x
  3. Step 3: Cross multiply
    222,972.69x = 334,510.11 × 96,634.16
  4. Step 4: Simplify right side
    222,972.69x = 32,325,101,818.81
  5. Step 5: Solve for x
    x = 32,325,101,818.81/222,972.69
  6. Step 6: Final answer
    x = 144,973.37

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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.