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Finding the Fourth Proportional to 200,976.67, 301,070.88 and 116,559.49

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Solution

The fourth proportional to 200,976.67, 301,070.88 and 116,559.49 is: 174,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.67 : 301,070.88 = 116,559.49 : x
  2. Step 2: Convert to fraction form
    200,976.67/301,070.88 = 116,559.49/x
  3. Step 3: Cross multiply
    200,976.67x = 301,070.88 × 116,559.49
  4. Step 4: Simplify right side
    200,976.67x = 35,092,668,226.65
  5. Step 5: Solve for x
    x = 35,092,668,226.65/200,976.67
  6. Step 6: Final answer
    x = 174,610.66

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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.