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Finding the Fourth Proportional to 208,874.22, 313,214.13 and 75,749.10

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Solution

The fourth proportional to 208,874.22, 313,214.13 and 75,749.10 is: 113,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.22 : 313,214.13 = 75,749.10 : x
  2. Step 2: Convert to fraction form
    208,874.22/313,214.13 = 75,749.10/x
  3. Step 3: Cross multiply
    208,874.22x = 313,214.13 × 75,749.10
  4. Step 4: Simplify right side
    208,874.22x = 23,725,688,454.78
  5. Step 5: Solve for x
    x = 23,725,688,454.78/208,874.22
  6. Step 6: Final answer
    x = 113,588.40

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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.