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Finding the Fourth Proportional to 192,300, 265,201.62 and 160,141.11

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Solution

The fourth proportional to 192,300, 265,201.62 and 160,141.11 is: 220,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,300 : 265,201.62 = 160,141.11 : x
  2. Step 2: Convert to fraction form
    192,300/265,201.62 = 160,141.11/x
  3. Step 3: Cross multiply
    192,300x = 265,201.62 × 160,141.11
  4. Step 4: Simplify right side
    192,300x = 42,469,681,800.60
  5. Step 5: Solve for x
    x = 42,469,681,800.60/192,300
  6. Step 6: Final answer
    x = 220,851.18

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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.