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Finding the Fourth Proportional to 115,942.34, 160,078.66 and 72,401.41

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Solution

The fourth proportional to 115,942.34, 160,078.66 and 72,401.41 is: 99,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,942.34 : 160,078.66 = 72,401.41 : x
  2. Step 2: Convert to fraction form
    115,942.34/160,078.66 = 72,401.41/x
  3. Step 3: Cross multiply
    115,942.34x = 160,078.66 × 72,401.41
  4. Step 4: Simplify right side
    115,942.34x = 11,589,919,532.51
  5. Step 5: Solve for x
    x = 11,589,919,532.51/115,942.34
  6. Step 6: Final answer
    x = 99,962.79

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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.