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Finding the Fourth Proportional to 140,212.92, 193,494.48 and 76,552.16

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Solution

The fourth proportional to 140,212.92, 193,494.48 and 76,552.16 is: 105,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,212.92 : 193,494.48 = 76,552.16 : x
  2. Step 2: Convert to fraction form
    140,212.92/193,494.48 = 76,552.16/x
  3. Step 3: Cross multiply
    140,212.92x = 193,494.48 × 76,552.16
  4. Step 4: Simplify right side
    140,212.92x = 14,812,420,392.08
  5. Step 5: Solve for x
    x = 14,812,420,392.08/140,212.92
  6. Step 6: Final answer
    x = 105,642.34

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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.