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Finding the Fourth Proportional to 208,300.34, 312,385.88 and 75,163.34

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Solution

The fourth proportional to 208,300.34, 312,385.88 and 75,163.34 is: 112,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,300.34 : 312,385.88 = 75,163.34 : x
  2. Step 2: Convert to fraction form
    208,300.34/312,385.88 = 75,163.34/x
  3. Step 3: Cross multiply
    208,300.34x = 312,385.88 × 75,163.34
  4. Step 4: Simplify right side
    208,300.34x = 23,479,966,109.64
  5. Step 5: Solve for x
    x = 23,479,966,109.64/208,300.34
  6. Step 6: Final answer
    x = 112,721.69

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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.