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Finding the Fourth Proportional to 276,141.50, 413,547.94 and 157,453.02

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Solution

The fourth proportional to 276,141.50, 413,547.94 and 157,453.02 is: 235,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,141.50 : 413,547.94 = 157,453.02 : x
  2. Step 2: Convert to fraction form
    276,141.50/413,547.94 = 157,453.02/x
  3. Step 3: Cross multiply
    276,141.50x = 413,547.94 × 157,453.02
  4. Step 4: Simplify right side
    276,141.50x = 65,114,372,067.78
  5. Step 5: Solve for x
    x = 65,114,372,067.78/276,141.50
  6. Step 6: Final answer
    x = 235,800.75

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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.