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Finding the Fourth Proportional to 136,592.80, 204,772.34 and 52,413.37

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Solution

The fourth proportional to 136,592.80, 204,772.34 and 52,413.37 is: 78,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,592.80 : 204,772.34 = 52,413.37 : x
  2. Step 2: Convert to fraction form
    136,592.80/204,772.34 = 52,413.37/x
  3. Step 3: Cross multiply
    136,592.80x = 204,772.34 × 52,413.37
  4. Step 4: Simplify right side
    136,592.80x = 10,732,808,898.31
  5. Step 5: Solve for x
    x = 10,732,808,898.31/136,592.80
  6. Step 6: Final answer
    x = 78,575.22

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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.