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Finding the Fourth Proportional to 109,944, 151,662.24 and 78,160.32

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Solution

The fourth proportional to 109,944, 151,662.24 and 78,160.32 is: 107,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,944 : 151,662.24 = 78,160.32 : x
  2. Step 2: Convert to fraction form
    109,944/151,662.24 = 78,160.32/x
  3. Step 3: Cross multiply
    109,944x = 151,662.24 × 78,160.32
  4. Step 4: Simplify right side
    109,944x = 11,853,969,210.32
  5. Step 5: Solve for x
    x = 11,853,969,210.32/109,944
  6. Step 6: Final answer
    x = 107,818.25

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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.