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Finding the Fourth Proportional to 134,008.48, 201,006.24 and 50,896

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Solution

The fourth proportional to 134,008.48, 201,006.24 and 50,896 is: 76,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,008.48 : 201,006.24 = 50,896 : x
  2. Step 2: Convert to fraction form
    134,008.48/201,006.24 = 50,896/x
  3. Step 3: Cross multiply
    134,008.48x = 201,006.24 × 50,896
  4. Step 4: Simplify right side
    134,008.48x = 10,230,413,591.04
  5. Step 5: Solve for x
    x = 10,230,413,591.04/134,008.48
  6. Step 6: Final answer
    x = 76,341.54

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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.