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Finding the Fourth Proportional to 105,113.39, 145,214.44 and 68,900.78

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Solution

The fourth proportional to 105,113.39, 145,214.44 and 68,900.78 is: 95,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,113.39 : 145,214.44 = 68,900.78 : x
  2. Step 2: Convert to fraction form
    105,113.39/145,214.44 = 68,900.78/x
  3. Step 3: Cross multiply
    105,113.39x = 145,214.44 × 68,900.78
  4. Step 4: Simplify right side
    105,113.39x = 10,005,388,374.05
  5. Step 5: Solve for x
    x = 10,005,388,374.05/105,113.39
  6. Step 6: Final answer
    x = 95,186.63

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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.