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Finding the Fourth Proportional to 265,275.30, 366,067.98 and 144,413.50

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Solution

The fourth proportional to 265,275.30, 366,067.98 and 144,413.50 is: 199,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,275.30 : 366,067.98 = 144,413.50 : x
  2. Step 2: Convert to fraction form
    265,275.30/366,067.98 = 144,413.50/x
  3. Step 3: Cross multiply
    265,275.30x = 366,067.98 × 144,413.50
  4. Step 4: Simplify right side
    265,275.30x = 52,865,158,229.73
  5. Step 5: Solve for x
    x = 52,865,158,229.73/265,275.30
  6. Step 6: Final answer
    x = 199,284.13

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Why These Related Problems?

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