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Finding the Fourth Proportional to 260,413.01, 390,490.29 and 82,896.95

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Solution

The fourth proportional to 260,413.01, 390,490.29 and 82,896.95 is: 124,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,413.01 : 390,490.29 = 82,896.95 : x
  2. Step 2: Convert to fraction form
    260,413.01/390,490.29 = 82,896.95/x
  3. Step 3: Cross multiply
    260,413.01x = 390,490.29 × 82,896.95
  4. Step 4: Simplify right side
    260,413.01x = 32,370,454,045.62
  5. Step 5: Solve for x
    x = 32,370,454,045.62/260,413.01
  6. Step 6: Final answer
    x = 124,304.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.