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Finding the Fourth Proportional to 158,500.53, 218,738.07 and 86,886

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Solution

The fourth proportional to 158,500.53, 218,738.07 and 86,886 is: 119,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,500.53 : 218,738.07 = 86,886 : x
  2. Step 2: Convert to fraction form
    158,500.53/218,738.07 = 86,886/x
  3. Step 3: Cross multiply
    158,500.53x = 218,738.07 × 86,886
  4. Step 4: Simplify right side
    158,500.53x = 19,005,275,950.02
  5. Step 5: Solve for x
    x = 19,005,275,950.02/158,500.53
  6. Step 6: Final answer
    x = 119,906.70

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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.