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Finding the Fourth Proportional to 253,736.53, 380,457.20 and 95,977.28

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Solution

The fourth proportional to 253,736.53, 380,457.20 and 95,977.28 is: 143,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,736.53 : 380,457.20 = 95,977.28 : x
  2. Step 2: Convert to fraction form
    253,736.53/380,457.20 = 95,977.28/x
  3. Step 3: Cross multiply
    253,736.53x = 380,457.20 × 95,977.28
  4. Step 4: Simplify right side
    253,736.53x = 36,515,248,403.50
  5. Step 5: Solve for x
    x = 36,515,248,403.50/253,736.53
  6. Step 6: Final answer
    x = 143,910.10

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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.