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Finding the Fourth Proportional to 175,651, 263,518.44 and 57,322.56

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Solution

The fourth proportional to 175,651, 263,518.44 and 57,322.56 is: 85,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,651 : 263,518.44 = 57,322.56 : x
  2. Step 2: Convert to fraction form
    175,651/263,518.44 = 57,322.56/x
  3. Step 3: Cross multiply
    175,651x = 263,518.44 × 57,322.56
  4. Step 4: Simplify right side
    175,651x = 15,105,551,588.01
  5. Step 5: Solve for x
    x = 15,105,551,588.01/175,651
  6. Step 6: Final answer
    x = 85,997.53

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Why These Related Problems?

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