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Finding the Fourth Proportional to 139,695.16, 192,778.77 and 76,033.48

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Solution

The fourth proportional to 139,695.16, 192,778.77 and 76,033.48 is: 104,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,695.16 : 192,778.77 = 76,033.48 : x
  2. Step 2: Convert to fraction form
    139,695.16/192,778.77 = 76,033.48/x
  3. Step 3: Cross multiply
    139,695.16x = 192,778.77 × 76,033.48
  4. Step 4: Simplify right side
    139,695.16x = 14,657,640,753.22
  5. Step 5: Solve for x
    x = 14,657,640,753.22/139,695.16
  6. Step 6: Final answer
    x = 104,925.90

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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.