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Finding the Fourth Proportional to 113,805.10, 170,611.25 and 47,203.66

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Solution

The fourth proportional to 113,805.10, 170,611.25 and 47,203.66 is: 70,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,805.10 : 170,611.25 = 47,203.66 : x
  2. Step 2: Convert to fraction form
    113,805.10/170,611.25 = 47,203.66/x
  3. Step 3: Cross multiply
    113,805.10x = 170,611.25 × 47,203.66
  4. Step 4: Simplify right side
    113,805.10x = 8,053,474,584.12
  5. Step 5: Solve for x
    x = 8,053,474,584.12/113,805.10
  6. Step 6: Final answer
    x = 70,765.50

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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.