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Finding the Fourth Proportional to 288,787.22, 433,254.72 and 111,246.56

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Solution

The fourth proportional to 288,787.22, 433,254.72 and 111,246.56 is: 166,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,787.22 : 433,254.72 = 111,246.56 : x
  2. Step 2: Convert to fraction form
    288,787.22/433,254.72 = 111,246.56/x
  3. Step 3: Cross multiply
    288,787.22x = 433,254.72 × 111,246.56
  4. Step 4: Simplify right side
    288,787.22x = 48,198,097,203.76
  5. Step 5: Solve for x
    x = 48,198,097,203.76/288,787.22
  6. Step 6: Final answer
    x = 166,898.30

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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.