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Finding the Fourth Proportional to 137,183.47, 189,320.54 and 76,750.49

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Solution

The fourth proportional to 137,183.47, 189,320.54 and 76,750.49 is: 105,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,183.47 : 189,320.54 = 76,750.49 : x
  2. Step 2: Convert to fraction form
    137,183.47/189,320.54 = 76,750.49/x
  3. Step 3: Cross multiply
    137,183.47x = 189,320.54 × 76,750.49
  4. Step 4: Simplify right side
    137,183.47x = 14,530,444,301.61
  5. Step 5: Solve for x
    x = 14,530,444,301.61/137,183.47
  6. Step 6: Final answer
    x = 105,919.79

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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.