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Finding the Fourth Proportional to 188,703.27, 260,410.95 and 103,825.80

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Solution

The fourth proportional to 188,703.27, 260,410.95 and 103,825.80 is: 143,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,703.27 : 260,410.95 = 103,825.80 : x
  2. Step 2: Convert to fraction form
    188,703.27/260,410.95 = 103,825.80/x
  3. Step 3: Cross multiply
    188,703.27x = 260,410.95 × 103,825.80
  4. Step 4: Simplify right side
    188,703.27x = 27,037,375,212.51
  5. Step 5: Solve for x
    x = 27,037,375,212.51/188,703.27
  6. Step 6: Final answer
    x = 143,279.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.