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Finding the Fourth Proportional to 188,233.52, 259,664.28 and 152,463.92

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Solution

The fourth proportional to 188,233.52, 259,664.28 and 152,463.92 is: 210,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,233.52 : 259,664.28 = 152,463.92 : x
  2. Step 2: Convert to fraction form
    188,233.52/259,664.28 = 152,463.92/x
  3. Step 3: Cross multiply
    188,233.52x = 259,664.28 × 152,463.92
  4. Step 4: Simplify right side
    188,233.52x = 39,589,434,012.78
  5. Step 5: Solve for x
    x = 39,589,434,012.78/188,233.52
  6. Step 6: Final answer
    x = 210,320.85

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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.