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Finding the Fourth Proportional to 169,116.96, 233,383.12 and 102,036

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Solution

The fourth proportional to 169,116.96, 233,383.12 and 102,036 is: 140,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,116.96 : 233,383.12 = 102,036 : x
  2. Step 2: Convert to fraction form
    169,116.96/233,383.12 = 102,036/x
  3. Step 3: Cross multiply
    169,116.96x = 233,383.12 × 102,036
  4. Step 4: Simplify right side
    169,116.96x = 23,813,480,032.32
  5. Step 5: Solve for x
    x = 23,813,480,032.32/169,116.96
  6. Step 6: Final answer
    x = 140,810.71

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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.