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Finding the Fourth Proportional to 192,470.96, 288,693.48 and 67,795.76

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Solution

The fourth proportional to 192,470.96, 288,693.48 and 67,795.76 is: 101,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,470.96 : 288,693.48 = 67,795.76 : x
  2. Step 2: Convert to fraction form
    192,470.96/288,693.48 = 67,795.76/x
  3. Step 3: Cross multiply
    192,470.96x = 288,693.48 × 67,795.76
  4. Step 4: Simplify right side
    192,470.96x = 19,572,193,883.64
  5. Step 5: Solve for x
    x = 19,572,193,883.64/192,470.96
  6. Step 6: Final answer
    x = 101,689.07

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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.