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Finding the Fourth Proportional to 253,896.67, 380,795.59 and 96,137.47

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Solution

The fourth proportional to 253,896.67, 380,795.59 and 96,137.47 is: 144,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,896.67 : 380,795.59 = 96,137.47 : x
  2. Step 2: Convert to fraction form
    253,896.67/380,795.59 = 96,137.47/x
  3. Step 3: Cross multiply
    253,896.67x = 380,795.59 × 96,137.47
  4. Step 4: Simplify right side
    253,896.67x = 36,608,724,609.76
  5. Step 5: Solve for x
    x = 36,608,724,609.76/253,896.67
  6. Step 6: Final answer
    x = 144,187.49

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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.