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Finding the Fourth Proportional to 105,335.75, 157,970.81 and 35,198.66

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Solution

The fourth proportional to 105,335.75, 157,970.81 and 35,198.66 is: 52,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,335.75 : 157,970.81 = 35,198.66 : x
  2. Step 2: Convert to fraction form
    105,335.75/157,970.81 = 35,198.66/x
  3. Step 3: Cross multiply
    105,335.75x = 157,970.81 × 35,198.66
  4. Step 4: Simplify right side
    105,335.75x = 5,560,360,041.26
  5. Step 5: Solve for x
    x = 5,560,360,041.26/105,335.75
  6. Step 6: Final answer
    x = 52,787.02

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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.