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Finding the Fourth Proportional to 188,806.26, 283,210.13 and 76,488.60

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Solution

The fourth proportional to 188,806.26, 283,210.13 and 76,488.60 is: 114,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,806.26 : 283,210.13 = 76,488.60 : x
  2. Step 2: Convert to fraction form
    188,806.26/283,210.13 = 76,488.60/x
  3. Step 3: Cross multiply
    188,806.26x = 283,210.13 × 76,488.60
  4. Step 4: Simplify right side
    188,806.26x = 21,662,346,349.52
  5. Step 5: Solve for x
    x = 21,662,346,349.52/188,806.26
  6. Step 6: Final answer
    x = 114,733.20

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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.