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Finding the Fourth Proportional to 78,106, 117,134.79 and 28,179.61

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Solution

The fourth proportional to 78,106, 117,134.79 and 28,179.61 is: 42,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106 : 117,134.79 = 28,179.61 : x
  2. Step 2: Convert to fraction form
    78,106/117,134.79 = 28,179.61/x
  3. Step 3: Cross multiply
    78,106x = 117,134.79 × 28,179.61
  4. Step 4: Simplify right side
    78,106x = 3,300,812,699.63
  5. Step 5: Solve for x
    x = 3,300,812,699.63/78,106
  6. Step 6: Final answer
    x = 42,260.68

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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.