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Finding the Fourth Proportional to 253,702.94, 380,406.58 and 95,943.69

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Solution

The fourth proportional to 253,702.94, 380,406.58 and 95,943.69 is: 143,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,702.94 : 380,406.58 = 95,943.69 : x
  2. Step 2: Convert to fraction form
    253,702.94/380,406.58 = 95,943.69/x
  3. Step 3: Cross multiply
    253,702.94x = 380,406.58 × 95,943.69
  4. Step 4: Simplify right side
    253,702.94x = 36,497,610,745.62
  5. Step 5: Solve for x
    x = 36,497,610,745.62/253,702.94
  6. Step 6: Final answer
    x = 143,859.63

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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.