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Finding the Fourth Proportional to 120,941.81, 181,413.12 and 36,702.68

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Solution

The fourth proportional to 120,941.81, 181,413.12 and 36,702.68 is: 55,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,941.81 : 181,413.12 = 36,702.68 : x
  2. Step 2: Convert to fraction form
    120,941.81/181,413.12 = 36,702.68/x
  3. Step 3: Cross multiply
    120,941.81x = 181,413.12 × 36,702.68
  4. Step 4: Simplify right side
    120,941.81x = 6,658,347,691.16
  5. Step 5: Solve for x
    x = 6,658,347,691.16/120,941.81
  6. Step 6: Final answer
    x = 55,054.14

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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.