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Finding the Fourth Proportional to 102,133.51, 153,067.15 and 52,171.49

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Solution

The fourth proportional to 102,133.51, 153,067.15 and 52,171.49 is: 78,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133.51 : 153,067.15 = 52,171.49 : x
  2. Step 2: Convert to fraction form
    102,133.51/153,067.15 = 52,171.49/x
  3. Step 3: Cross multiply
    102,133.51x = 153,067.15 × 52,171.49
  4. Step 4: Simplify right side
    102,133.51x = 7,985,741,733.44
  5. Step 5: Solve for x
    x = 7,985,741,733.44/102,133.51
  6. Step 6: Final answer
    x = 78,189.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.