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Finding the Fourth Proportional to 116,051.36, 160,138.80 and 68,301.84

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Solution

The fourth proportional to 116,051.36, 160,138.80 and 68,301.84 is: 94,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,051.36 : 160,138.80 = 68,301.84 : x
  2. Step 2: Convert to fraction form
    116,051.36/160,138.80 = 68,301.84/x
  3. Step 3: Cross multiply
    116,051.36x = 160,138.80 × 68,301.84
  4. Step 4: Simplify right side
    116,051.36x = 10,937,774,695.39
  5. Step 5: Solve for x
    x = 10,937,774,695.39/116,051.36
  6. Step 6: Final answer
    x = 94,249.43

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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.