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Finding the Fourth Proportional to 215,261.80, 322,124.70 and 136,413.80

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Solution

The fourth proportional to 215,261.80, 322,124.70 and 136,413.80 is: 204,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,261.80 : 322,124.70 = 136,413.80 : x
  2. Step 2: Convert to fraction form
    215,261.80/322,124.70 = 136,413.80/x
  3. Step 3: Cross multiply
    215,261.80x = 322,124.70 × 136,413.80
  4. Step 4: Simplify right side
    215,261.80x = 43,942,254,400.86
  5. Step 5: Solve for x
    x = 43,942,254,400.86/215,261.80
  6. Step 6: Final answer
    x = 204,134.01

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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.