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Finding the Fourth Proportional to 78,156.96, 107,866.08 and 44,166.88

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Solution

The fourth proportional to 78,156.96, 107,866.08 and 44,166.88 is: 60,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.96 : 107,866.08 = 44,166.88 : x
  2. Step 2: Convert to fraction form
    78,156.96/107,866.08 = 44,166.88/x
  3. Step 3: Cross multiply
    78,156.96x = 107,866.08 × 44,166.88
  4. Step 4: Simplify right side
    78,156.96x = 4,764,108,211.43
  5. Step 5: Solve for x
    x = 4,764,108,211.43/78,156.96
  6. Step 6: Final answer
    x = 60,955.65

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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.