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Finding the Fourth Proportional to 114,151.09, 157,517.77 and 77,282.32

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Solution

The fourth proportional to 114,151.09, 157,517.77 and 77,282.32 is: 106,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,151.09 : 157,517.77 = 77,282.32 : x
  2. Step 2: Convert to fraction form
    114,151.09/157,517.77 = 77,282.32/x
  3. Step 3: Cross multiply
    114,151.09x = 157,517.77 × 77,282.32
  4. Step 4: Simplify right side
    114,151.09x = 12,173,338,194.41
  5. Step 5: Solve for x
    x = 12,173,338,194.41/114,151.09
  6. Step 6: Final answer
    x = 106,642.33

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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.