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Finding the Fourth Proportional to 114,151.57, 157,573.32 and 102,194.15

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Solution

The fourth proportional to 114,151.57, 157,573.32 and 102,194.15 is: 141,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,151.57 : 157,573.32 = 102,194.15 : x
  2. Step 2: Convert to fraction form
    114,151.57/157,573.32 = 102,194.15/x
  3. Step 3: Cross multiply
    114,151.57x = 157,573.32 × 102,194.15
  4. Step 4: Simplify right side
    114,151.57x = 16,103,071,500.08
  5. Step 5: Solve for x
    x = 16,103,071,500.08/114,151.57
  6. Step 6: Final answer
    x = 141,067.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.