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Finding the Fourth Proportional to 120,532.55, 166,353.33 and 76,943.93

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Solution

The fourth proportional to 120,532.55, 166,353.33 and 76,943.93 is: 106,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532.55 : 166,353.33 = 76,943.93 : x
  2. Step 2: Convert to fraction form
    120,532.55/166,353.33 = 76,943.93/x
  3. Step 3: Cross multiply
    120,532.55x = 166,353.33 × 76,943.93
  4. Step 4: Simplify right side
    120,532.55x = 12,799,878,978.79
  5. Step 5: Solve for x
    x = 12,799,878,978.79/120,532.55
  6. Step 6: Final answer
    x = 106,194.38

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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.