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Finding the Fourth Proportional to 78,518.78, 118,205.31 and 71,543.67

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Solution

The fourth proportional to 78,518.78, 118,205.31 and 71,543.67 is: 107,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,518.78 : 118,205.31 = 71,543.67 : x
  2. Step 2: Convert to fraction form
    78,518.78/118,205.31 = 71,543.67/x
  3. Step 3: Cross multiply
    78,518.78x = 118,205.31 × 71,543.67
  4. Step 4: Simplify right side
    78,518.78x = 8,456,841,690.89
  5. Step 5: Solve for x
    x = 8,456,841,690.89/78,518.78
  6. Step 6: Final answer
    x = 107,704.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.