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Finding the Fourth Proportional to 157,067.61, 216,754.94 and 85,447.46

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Solution

The fourth proportional to 157,067.61, 216,754.94 and 85,447.46 is: 117,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,067.61 : 216,754.94 = 85,447.46 : x
  2. Step 2: Convert to fraction form
    157,067.61/216,754.94 = 85,447.46/x
  3. Step 3: Cross multiply
    157,067.61x = 216,754.94 × 85,447.46
  4. Step 4: Simplify right side
    157,067.61x = 18,521,158,121.07
  5. Step 5: Solve for x
    x = 18,521,158,121.07/157,067.61
  6. Step 6: Final answer
    x = 117,918.38

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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.