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Finding the Fourth Proportional to 188,299.01, 259,854.66 and 103,416.08

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Solution

The fourth proportional to 188,299.01, 259,854.66 and 103,416.08 is: 142,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,299.01 : 259,854.66 = 103,416.08 : x
  2. Step 2: Convert to fraction form
    188,299.01/259,854.66 = 103,416.08/x
  3. Step 3: Cross multiply
    188,299.01x = 259,854.66 × 103,416.08
  4. Step 4: Simplify right side
    188,299.01x = 26,873,149,007.66
  5. Step 5: Solve for x
    x = 26,873,149,007.66/188,299.01
  6. Step 6: Final answer
    x = 142,715.29

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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.