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Finding the Fourth Proportional to 276,140.50, 413,546.44 and 157,452.02

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Solution

The fourth proportional to 276,140.50, 413,546.44 and 157,452.02 is: 235,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,140.50 : 413,546.44 = 157,452.02 : x
  2. Step 2: Convert to fraction form
    276,140.50/413,546.44 = 157,452.02/x
  3. Step 3: Cross multiply
    276,140.50x = 413,546.44 × 157,452.02
  4. Step 4: Simplify right side
    276,140.50x = 65,113,722,341.81
  5. Step 5: Solve for x
    x = 65,113,722,341.81/276,140.50
  6. Step 6: Final answer
    x = 235,799.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.