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Finding the Fourth Proportional to 116,162, 160,278.84 and 68,397.92

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Solution

The fourth proportional to 116,162, 160,278.84 and 68,397.92 is: 94,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,162 : 160,278.84 = 68,397.92 : x
  2. Step 2: Convert to fraction form
    116,162/160,278.84 = 68,397.92/x
  3. Step 3: Cross multiply
    116,162x = 160,278.84 × 68,397.92
  4. Step 4: Simplify right side
    116,162x = 10,962,739,276.01
  5. Step 5: Solve for x
    x = 10,962,739,276.01/116,162
  6. Step 6: Final answer
    x = 94,374.57

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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.