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Finding the Fourth Proportional to 188,083.60, 259,555.68 and 103,201.30

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Solution

The fourth proportional to 188,083.60, 259,555.68 and 103,201.30 is: 142,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,083.60 : 259,555.68 = 103,201.30 : x
  2. Step 2: Convert to fraction form
    188,083.60/259,555.68 = 103,201.30/x
  3. Step 3: Cross multiply
    188,083.60x = 259,555.68 × 103,201.30
  4. Step 4: Simplify right side
    188,083.60x = 26,786,483,598.38
  5. Step 5: Solve for x
    x = 26,786,483,598.38/188,083.60
  6. Step 6: Final answer
    x = 142,417.97

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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.