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Finding the Fourth Proportional to 200,041.60, 276,083.52 and 115,162.24

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Solution

The fourth proportional to 200,041.60, 276,083.52 and 115,162.24 is: 158,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,041.60 : 276,083.52 = 115,162.24 : x
  2. Step 2: Convert to fraction form
    200,041.60/276,083.52 = 115,162.24/x
  3. Step 3: Cross multiply
    200,041.60x = 276,083.52 × 115,162.24
  4. Step 4: Simplify right side
    200,041.60x = 31,794,396,590.28
  5. Step 5: Solve for x
    x = 31,794,396,590.28/200,041.60
  6. Step 6: Final answer
    x = 158,938.92

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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.