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Finding the Fourth Proportional to 115,422.80, 173,134.20 and 53,214.80

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Solution

The fourth proportional to 115,422.80, 173,134.20 and 53,214.80 is: 79,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,422.80 : 173,134.20 = 53,214.80 : x
  2. Step 2: Convert to fraction form
    115,422.80/173,134.20 = 53,214.80/x
  3. Step 3: Cross multiply
    115,422.80x = 173,134.20 × 53,214.80
  4. Step 4: Simplify right side
    115,422.80x = 9,213,301,826.16
  5. Step 5: Solve for x
    x = 9,213,301,826.16/115,422.80
  6. Step 6: Final answer
    x = 79,822.20

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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.