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Finding the Fourth Proportional to 169,135.50, 233,407 and 102,067.50

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Solution

The fourth proportional to 169,135.50, 233,407 and 102,067.50 is: 140,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,135.50 : 233,407 = 102,067.50 : x
  2. Step 2: Convert to fraction form
    169,135.50/233,407 = 102,067.50/x
  3. Step 3: Cross multiply
    169,135.50x = 233,407 × 102,067.50
  4. Step 4: Simplify right side
    169,135.50x = 23,823,268,972.50
  5. Step 5: Solve for x
    x = 23,823,268,972.50/169,135.50
  6. Step 6: Final answer
    x = 140,853.16

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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.