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Finding the Fourth Proportional to 191,902.14, 287,652.12 and 107,538.62

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Solution

The fourth proportional to 191,902.14, 287,652.12 and 107,538.62 is: 161,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,902.14 : 287,652.12 = 107,538.62 : x
  2. Step 2: Convert to fraction form
    191,902.14/287,652.12 = 107,538.62/x
  3. Step 3: Cross multiply
    191,902.14x = 287,652.12 × 107,538.62
  4. Step 4: Simplify right side
    191,902.14x = 30,933,710,586.61
  5. Step 5: Solve for x
    x = 30,933,710,586.61/191,902.14
  6. Step 6: Final answer
    x = 161,195.24

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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.