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Finding the Fourth Proportional to 78,105, 117,158.94 and 28,188.84

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Solution

The fourth proportional to 78,105, 117,158.94 and 28,188.84 is: 42,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,105 : 117,158.94 = 28,188.84 : x
  2. Step 2: Convert to fraction form
    78,105/117,158.94 = 28,188.84/x
  3. Step 3: Cross multiply
    78,105x = 117,158.94 × 28,188.84
  4. Step 4: Simplify right side
    78,105x = 3,302,574,614.23
  5. Step 5: Solve for x
    x = 3,302,574,614.23/78,105
  6. Step 6: Final answer
    x = 42,283.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.