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Finding the Fourth Proportional to 262,015.90, 361,592.12 and 147,296.82

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Solution

The fourth proportional to 262,015.90, 361,592.12 and 147,296.82 is: 203,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,015.90 : 361,592.12 = 147,296.82 : x
  2. Step 2: Convert to fraction form
    262,015.90/361,592.12 = 147,296.82/x
  3. Step 3: Cross multiply
    262,015.90x = 361,592.12 × 147,296.82
  4. Step 4: Simplify right side
    262,015.90x = 53,261,369,413.06
  5. Step 5: Solve for x
    x = 53,261,369,413.06/262,015.90
  6. Step 6: Final answer
    x = 203,275.33

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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.