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Finding the Fourth Proportional to 156,473.16, 215,933.07 and 84,853.16

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Solution

The fourth proportional to 156,473.16, 215,933.07 and 84,853.16 is: 117,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,473.16 : 215,933.07 = 84,853.16 : x
  2. Step 2: Convert to fraction form
    156,473.16/215,933.07 = 84,853.16/x
  3. Step 3: Cross multiply
    156,473.16x = 215,933.07 × 84,853.16
  4. Step 4: Simplify right side
    156,473.16x = 18,322,603,338.00
  5. Step 5: Solve for x
    x = 18,322,603,338.00/156,473.16
  6. Step 6: Final answer
    x = 117,097.42

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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.