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Finding the Fourth Proportional to 116,138.91, 160,273.28 and 65,162.68

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Solution

The fourth proportional to 116,138.91, 160,273.28 and 65,162.68 is: 89,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138.91 : 160,273.28 = 65,162.68 : x
  2. Step 2: Convert to fraction form
    116,138.91/160,273.28 = 65,162.68/x
  3. Step 3: Cross multiply
    116,138.91x = 160,273.28 × 65,162.68
  4. Step 4: Simplify right side
    116,138.91x = 10,443,836,219.41
  5. Step 5: Solve for x
    x = 10,443,836,219.41/116,138.91
  6. Step 6: Final answer
    x = 89,925.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.