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Finding the Fourth Proportional to 148,830.01, 205,403.34 and 85,166.44

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Solution

The fourth proportional to 148,830.01, 205,403.34 and 85,166.44 is: 117,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830.01 : 205,403.34 = 85,166.44 : x
  2. Step 2: Convert to fraction form
    148,830.01/205,403.34 = 85,166.44/x
  3. Step 3: Cross multiply
    148,830.01x = 205,403.34 × 85,166.44
  4. Step 4: Simplify right side
    148,830.01x = 17,493,471,037.78
  5. Step 5: Solve for x
    x = 17,493,471,037.78/148,830.01
  6. Step 6: Final answer
    x = 117,539.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.