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Finding the Fourth Proportional to 203,833.16, 281,291.72 and 118,933.82

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Solution

The fourth proportional to 203,833.16, 281,291.72 and 118,933.82 is: 164,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,833.16 : 281,291.72 = 118,933.82 : x
  2. Step 2: Convert to fraction form
    203,833.16/281,291.72 = 118,933.82/x
  3. Step 3: Cross multiply
    203,833.16x = 281,291.72 × 118,933.82
  4. Step 4: Simplify right side
    203,833.16x = 33,455,097,387.51
  5. Step 5: Solve for x
    x = 33,455,097,387.51/203,833.16
  6. Step 6: Final answer
    x = 164,129.81

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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.