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Finding the Fourth Proportional to 322,051.95, 483,077.91 and 85,413.06

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Solution

The fourth proportional to 322,051.95, 483,077.91 and 85,413.06 is: 128,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,051.95 : 483,077.91 = 85,413.06 : x
  2. Step 2: Convert to fraction form
    322,051.95/483,077.91 = 85,413.06/x
  3. Step 3: Cross multiply
    322,051.95x = 483,077.91 × 85,413.06
  4. Step 4: Simplify right side
    322,051.95x = 41,261,162,511.50
  5. Step 5: Solve for x
    x = 41,261,162,511.50/322,051.95
  6. Step 6: Final answer
    x = 128,119.59

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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.