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Finding the Fourth Proportional to 117,509.92, 162,103.62 and 75,023.80

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Solution

The fourth proportional to 117,509.92, 162,103.62 and 75,023.80 is: 103,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,509.92 : 162,103.62 = 75,023.80 : x
  2. Step 2: Convert to fraction form
    117,509.92/162,103.62 = 75,023.80/x
  3. Step 3: Cross multiply
    117,509.92x = 162,103.62 × 75,023.80
  4. Step 4: Simplify right side
    117,509.92x = 12,161,629,566.16
  5. Step 5: Solve for x
    x = 12,161,629,566.16/117,509.92
  6. Step 6: Final answer
    x = 103,494.49

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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.