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Finding the Fourth Proportional to 199,293.70, 275,050.13 and 114,408.94

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Solution

The fourth proportional to 199,293.70, 275,050.13 and 114,408.94 is: 157,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,293.70 : 275,050.13 = 114,408.94 : x
  2. Step 2: Convert to fraction form
    199,293.70/275,050.13 = 114,408.94/x
  3. Step 3: Cross multiply
    199,293.70x = 275,050.13 × 114,408.94
  4. Step 4: Simplify right side
    199,293.70x = 31,468,193,820.16
  5. Step 5: Solve for x
    x = 31,468,193,820.16/199,293.70
  6. Step 6: Final answer
    x = 157,898.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.