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Finding the Fourth Proportional to 253,388.64, 380,121.84 and 95,613.60

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Solution

The fourth proportional to 253,388.64, 380,121.84 and 95,613.60 is: 143,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,388.64 : 380,121.84 = 95,613.60 : x
  2. Step 2: Convert to fraction form
    253,388.64/380,121.84 = 95,613.60/x
  3. Step 3: Cross multiply
    253,388.64x = 380,121.84 × 95,613.60
  4. Step 4: Simplify right side
    253,388.64x = 36,344,817,561.02
  5. Step 5: Solve for x
    x = 36,344,817,561.02/253,388.64
  6. Step 6: Final answer
    x = 143,435.07

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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.