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Finding the Fourth Proportional to 139,105.94, 191,964.30 and 75,442.46

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Solution

The fourth proportional to 139,105.94, 191,964.30 and 75,442.46 is: 104,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,105.94 : 191,964.30 = 75,442.46 : x
  2. Step 2: Convert to fraction form
    139,105.94/191,964.30 = 75,442.46/x
  3. Step 3: Cross multiply
    139,105.94x = 191,964.30 × 75,442.46
  4. Step 4: Simplify right side
    139,105.94x = 14,482,259,024.18
  5. Step 5: Solve for x
    x = 14,482,259,024.18/139,105.94
  6. Step 6: Final answer
    x = 104,109.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.