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Finding the Fourth Proportional to 115,406.32, 173,107.68 and 59,214

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Solution

The fourth proportional to 115,406.32, 173,107.68 and 59,214 is: 88,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,406.32 : 173,107.68 = 59,214 : x
  2. Step 2: Convert to fraction form
    115,406.32/173,107.68 = 59,214/x
  3. Step 3: Cross multiply
    115,406.32x = 173,107.68 × 59,214
  4. Step 4: Simplify right side
    115,406.32x = 10,250,398,163.52
  5. Step 5: Solve for x
    x = 10,250,398,163.52/115,406.32
  6. Step 6: Final answer
    x = 88,820.08

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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.