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Finding the Fourth Proportional to 77,378.09, 106,086.35 and 75,978.41

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Solution

The fourth proportional to 77,378.09, 106,086.35 and 75,978.41 is: 104,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378.09 : 106,086.35 = 75,978.41 : x
  2. Step 2: Convert to fraction form
    77,378.09/106,086.35 = 75,978.41/x
  3. Step 3: Cross multiply
    77,378.09x = 106,086.35 × 75,978.41
  4. Step 4: Simplify right side
    77,378.09x = 8,060,271,285.38
  5. Step 5: Solve for x
    x = 8,060,271,285.38/77,378.09
  6. Step 6: Final answer
    x = 104,167.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.