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Finding the Fourth Proportional to 253,907.46, 380,914.59 and 96,132.42

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Solution

The fourth proportional to 253,907.46, 380,914.59 and 96,132.42 is: 144,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,907.46 : 380,914.59 = 96,132.42 : x
  2. Step 2: Convert to fraction form
    253,907.46/380,914.59 = 96,132.42/x
  3. Step 3: Cross multiply
    253,907.46x = 380,914.59 × 96,132.42
  4. Step 4: Simplify right side
    253,907.46x = 36,618,241,350.01
  5. Step 5: Solve for x
    x = 36,618,241,350.01/253,907.46
  6. Step 6: Final answer
    x = 144,218.85

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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.