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Finding the Fourth Proportional to 116,433.66, 160,584.46 and 78,181.68

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Solution

The fourth proportional to 116,433.66, 160,584.46 and 78,181.68 is: 107,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,433.66 : 160,584.46 = 78,181.68 : x
  2. Step 2: Convert to fraction form
    116,433.66/160,584.46 = 78,181.68/x
  3. Step 3: Cross multiply
    116,433.66x = 160,584.46 × 78,181.68
  4. Step 4: Simplify right side
    116,433.66x = 12,554,762,864.69
  5. Step 5: Solve for x
    x = 12,554,762,864.69/116,433.66
  6. Step 6: Final answer
    x = 107,827.61

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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.