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Finding the Fourth Proportional to 192,127.64, 265,135.13 and 111,574.97

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Solution

The fourth proportional to 192,127.64, 265,135.13 and 111,574.97 is: 153,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,127.64 : 265,135.13 = 111,574.97 : x
  2. Step 2: Convert to fraction form
    192,127.64/265,135.13 = 111,574.97/x
  3. Step 3: Cross multiply
    192,127.64x = 265,135.13 × 111,574.97
  4. Step 4: Simplify right side
    192,127.64x = 29,582,442,292.15
  5. Step 5: Solve for x
    x = 29,582,442,292.15/192,127.64
  6. Step 6: Final answer
    x = 153,972.86

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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.