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Finding the Fourth Proportional to 113,807.10, 170,614.25 and 47,205.66

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Solution

The fourth proportional to 113,807.10, 170,614.25 and 47,205.66 is: 70,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,807.10 : 170,614.25 = 47,205.66 : x
  2. Step 2: Convert to fraction form
    113,807.10/170,614.25 = 47,205.66/x
  3. Step 3: Cross multiply
    113,807.10x = 170,614.25 × 47,205.66
  4. Step 4: Simplify right side
    113,807.10x = 8,053,958,276.66
  5. Step 5: Solve for x
    x = 8,053,958,276.66/113,807.10
  6. Step 6: Final answer
    x = 70,768.50

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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.