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Finding the Fourth Proportional to 113,695.69, 170,661.80 and 83,743.73

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Solution

The fourth proportional to 113,695.69, 170,661.80 and 83,743.73 is: 125,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,695.69 : 170,661.80 = 83,743.73 : x
  2. Step 2: Convert to fraction form
    113,695.69/170,661.80 = 83,743.73/x
  3. Step 3: Cross multiply
    113,695.69x = 170,661.80 × 83,743.73
  4. Step 4: Simplify right side
    113,695.69x = 14,291,855,281.80
  5. Step 5: Solve for x
    x = 14,291,855,281.80/113,695.69
  6. Step 6: Final answer
    x = 125,702.71

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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.