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Finding the Fourth Proportional to 156,093.85, 215,409.54 and 84,473.92

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Solution

The fourth proportional to 156,093.85, 215,409.54 and 84,473.92 is: 116,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,093.85 : 215,409.54 = 84,473.92 : x
  2. Step 2: Convert to fraction form
    156,093.85/215,409.54 = 84,473.92/x
  3. Step 3: Cross multiply
    156,093.85x = 215,409.54 × 84,473.92
  4. Step 4: Simplify right side
    156,093.85x = 18,196,488,249.20
  5. Step 5: Solve for x
    x = 18,196,488,249.20/156,093.85
  6. Step 6: Final answer
    x = 116,574.02

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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.