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Finding the Fourth Proportional to 180,146.68, 268,900.83 and 158,865.82

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Solution

The fourth proportional to 180,146.68, 268,900.83 and 158,865.82 is: 237,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,146.68 : 268,900.83 = 158,865.82 : x
  2. Step 2: Convert to fraction form
    180,146.68/268,900.83 = 158,865.82/x
  3. Step 3: Cross multiply
    180,146.68x = 268,900.83 × 158,865.82
  4. Step 4: Simplify right side
    180,146.68x = 42,719,150,856.63
  5. Step 5: Solve for x
    x = 42,719,150,856.63/180,146.68
  6. Step 6: Final answer
    x = 237,135.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.