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Finding the Fourth Proportional to 208,270.17, 312,340.58 and 75,133.11

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Solution

The fourth proportional to 208,270.17, 312,340.58 and 75,133.11 is: 112,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,270.17 : 312,340.58 = 75,133.11 : x
  2. Step 2: Convert to fraction form
    208,270.17/312,340.58 = 75,133.11/x
  3. Step 3: Cross multiply
    208,270.17x = 312,340.58 × 75,133.11
  4. Step 4: Simplify right side
    208,270.17x = 23,467,118,778.94
  5. Step 5: Solve for x
    x = 23,467,118,778.94/208,270.17
  6. Step 6: Final answer
    x = 112,676.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.