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Finding the Fourth Proportional to 116,408.92, 160,648.56 and 65,422.68

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Solution

The fourth proportional to 116,408.92, 160,648.56 and 65,422.68 is: 90,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,408.92 : 160,648.56 = 65,422.68 : x
  2. Step 2: Convert to fraction form
    116,408.92/160,648.56 = 65,422.68/x
  3. Step 3: Cross multiply
    116,408.92x = 160,648.56 × 65,422.68
  4. Step 4: Simplify right side
    116,408.92x = 10,510,059,333.34
  5. Step 5: Solve for x
    x = 10,510,059,333.34/116,408.92
  6. Step 6: Final answer
    x = 90,285.69

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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.