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Finding the Fourth Proportional to 163,832.83, 225,972.83 and 109,357.53

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Solution

The fourth proportional to 163,832.83, 225,972.83 and 109,357.53 is: 150,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,832.83 : 225,972.83 = 109,357.53 : x
  2. Step 2: Convert to fraction form
    163,832.83/225,972.83 = 109,357.53/x
  3. Step 3: Cross multiply
    163,832.83x = 225,972.83 × 109,357.53
  4. Step 4: Simplify right side
    163,832.83x = 24,711,829,654.34
  5. Step 5: Solve for x
    x = 24,711,829,654.34/163,832.83
  6. Step 6: Final answer
    x = 150,835.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.