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Finding the Fourth Proportional to 192,605.32, 288,803.58 and 107,242.48

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Solution

The fourth proportional to 192,605.32, 288,803.58 and 107,242.48 is: 160,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,605.32 : 288,803.58 = 107,242.48 : x
  2. Step 2: Convert to fraction form
    192,605.32/288,803.58 = 107,242.48/x
  3. Step 3: Cross multiply
    192,605.32x = 288,803.58 × 107,242.48
  4. Step 4: Simplify right side
    192,605.32x = 30,972,012,152.08
  5. Step 5: Solve for x
    x = 30,972,012,152.08/192,605.32
  6. Step 6: Final answer
    x = 160,805.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.