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Finding the Fourth Proportional to 252,263.48, 378,396.57 and 65,274.98

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Solution

The fourth proportional to 252,263.48, 378,396.57 and 65,274.98 is: 97,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,263.48 : 378,396.57 = 65,274.98 : x
  2. Step 2: Convert to fraction form
    252,263.48/378,396.57 = 65,274.98/x
  3. Step 3: Cross multiply
    252,263.48x = 378,396.57 × 65,274.98
  4. Step 4: Simplify right side
    252,263.48x = 24,699,826,646.84
  5. Step 5: Solve for x
    x = 24,699,826,646.84/252,263.48
  6. Step 6: Final answer
    x = 97,912.81

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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.