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Finding the Fourth Proportional to 152,019.68, 209,787.44 and 84,951.68

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Solution

The fourth proportional to 152,019.68, 209,787.44 and 84,951.68 is: 117,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,019.68 : 209,787.44 = 84,951.68 : x
  2. Step 2: Convert to fraction form
    152,019.68/209,787.44 = 84,951.68/x
  3. Step 3: Cross multiply
    152,019.68x = 209,787.44 × 84,951.68
  4. Step 4: Simplify right side
    152,019.68x = 17,821,795,470.90
  5. Step 5: Solve for x
    x = 17,821,795,470.90/152,019.68
  6. Step 6: Final answer
    x = 117,233.48

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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.