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Finding the Fourth Proportional to 117,085.30, 161,468.06 and 77,724.68

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Solution

The fourth proportional to 117,085.30, 161,468.06 and 77,724.68 is: 107,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,085.30 : 161,468.06 = 77,724.68 : x
  2. Step 2: Convert to fraction form
    117,085.30/161,468.06 = 77,724.68/x
  3. Step 3: Cross multiply
    117,085.30x = 161,468.06 × 77,724.68
  4. Step 4: Simplify right side
    117,085.30x = 12,550,053,293.72
  5. Step 5: Solve for x
    x = 12,550,053,293.72/117,085.30
  6. Step 6: Final answer
    x = 107,187.27

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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.