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Finding the Fourth Proportional to 156,396.38, 215,823.54 and 84,774.56

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Solution

The fourth proportional to 156,396.38, 215,823.54 and 84,774.56 is: 116,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,396.38 : 215,823.54 = 84,774.56 : x
  2. Step 2: Convert to fraction form
    156,396.38/215,823.54 = 84,774.56/x
  3. Step 3: Cross multiply
    156,396.38x = 215,823.54 × 84,774.56
  4. Step 4: Simplify right side
    156,396.38x = 18,296,345,641.14
  5. Step 5: Solve for x
    x = 18,296,345,641.14/156,396.38
  6. Step 6: Final answer
    x = 116,987.01

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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.