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Finding the Fourth Proportional to 192,297, 265,197.48 and 160,138.11

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Solution

The fourth proportional to 192,297, 265,197.48 and 160,138.11 is: 220,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,297 : 265,197.48 = 160,138.11 : x
  2. Step 2: Convert to fraction form
    192,297/265,197.48 = 160,138.11/x
  3. Step 3: Cross multiply
    192,297x = 265,197.48 × 160,138.11
  4. Step 4: Simplify right side
    192,297x = 42,468,223,223.96
  5. Step 5: Solve for x
    x = 42,468,223,223.96/192,297
  6. Step 6: Final answer
    x = 220,847.04

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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.