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Finding the Fourth Proportional to 192,694.16, 265,895.75 and 111,034.31

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Solution

The fourth proportional to 192,694.16, 265,895.75 and 111,034.31 is: 153,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,694.16 : 265,895.75 = 111,034.31 : x
  2. Step 2: Convert to fraction form
    192,694.16/265,895.75 = 111,034.31/x
  3. Step 3: Cross multiply
    192,694.16x = 265,895.75 × 111,034.31
  4. Step 4: Simplify right side
    192,694.16x = 29,523,549,248.53
  5. Step 5: Solve for x
    x = 29,523,549,248.53/192,694.16
  6. Step 6: Final answer
    x = 153,214.56

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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.