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Finding the Fourth Proportional to 334,140.96, 461,135.52 and 183,238

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Solution

The fourth proportional to 334,140.96, 461,135.52 and 183,238 is: 252,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,140.96 : 461,135.52 = 183,238 : x
  2. Step 2: Convert to fraction form
    334,140.96/461,135.52 = 183,238/x
  3. Step 3: Cross multiply
    334,140.96x = 461,135.52 × 183,238
  4. Step 4: Simplify right side
    334,140.96x = 84,497,550,413.76
  5. Step 5: Solve for x
    x = 84,497,550,413.76/334,140.96
  6. Step 6: Final answer
    x = 252,879.95

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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.