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Finding the Fourth Proportional to 140,214.37, 193,494.84 and 76,552.17

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Solution

The fourth proportional to 140,214.37, 193,494.84 and 76,552.17 is: 105,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,214.37 : 193,494.84 = 76,552.17 : x
  2. Step 2: Convert to fraction form
    140,214.37/193,494.84 = 76,552.17/x
  3. Step 3: Cross multiply
    140,214.37x = 193,494.84 × 76,552.17
  4. Step 4: Simplify right side
    140,214.37x = 14,812,449,885.80
  5. Step 5: Solve for x
    x = 14,812,449,885.80/140,214.37
  6. Step 6: Final answer
    x = 105,641.45

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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.