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Finding the Fourth Proportional to 232,662.42, 349,097.31 and 121,828.50

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Solution

The fourth proportional to 232,662.42, 349,097.31 and 121,828.50 is: 182,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,662.42 : 349,097.31 = 121,828.50 : x
  2. Step 2: Convert to fraction form
    232,662.42/349,097.31 = 121,828.50/x
  3. Step 3: Cross multiply
    232,662.42x = 349,097.31 × 121,828.50
  4. Step 4: Simplify right side
    232,662.42x = 42,530,001,631.34
  5. Step 5: Solve for x
    x = 42,530,001,631.34/232,662.42
  6. Step 6: Final answer
    x = 182,797.04

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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.