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Finding the Fourth Proportional to 288,662.52, 432,994.32 and 111,253.08

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Solution

The fourth proportional to 288,662.52, 432,994.32 and 111,253.08 is: 166,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,662.52 : 432,994.32 = 111,253.08 : x
  2. Step 2: Convert to fraction form
    288,662.52/432,994.32 = 111,253.08/x
  3. Step 3: Cross multiply
    288,662.52x = 432,994.32 × 111,253.08
  4. Step 4: Simplify right side
    288,662.52x = 48,171,951,722.51
  5. Step 5: Solve for x
    x = 48,171,951,722.51/288,662.52
  6. Step 6: Final answer
    x = 166,879.83

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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.