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Finding the Fourth Proportional to 221,046, 331,743.72 and 96,474.48

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Solution

The fourth proportional to 221,046, 331,743.72 and 96,474.48 is: 144,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,046 : 331,743.72 = 96,474.48 : x
  2. Step 2: Convert to fraction form
    221,046/331,743.72 = 96,474.48/x
  3. Step 3: Cross multiply
    221,046x = 331,743.72 × 96,474.48
  4. Step 4: Simplify right side
    221,046x = 32,004,802,880.27
  5. Step 5: Solve for x
    x = 32,004,802,880.27/221,046
  6. Step 6: Final answer
    x = 144,787.98

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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.