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Finding the Fourth Proportional to 208,875.22, 313,215.63 and 75,750.10

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Solution

The fourth proportional to 208,875.22, 313,215.63 and 75,750.10 is: 113,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,875.22 : 313,215.63 = 75,750.10 : x
  2. Step 2: Convert to fraction form
    208,875.22/313,215.63 = 75,750.10/x
  3. Step 3: Cross multiply
    208,875.22x = 313,215.63 × 75,750.10
  4. Step 4: Simplify right side
    208,875.22x = 23,726,115,294.06
  5. Step 5: Solve for x
    x = 23,726,115,294.06/208,875.22
  6. Step 6: Final answer
    x = 113,589.90

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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.