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Finding the Fourth Proportional to 146,413.80, 219,620.70 and 57,637.80

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Solution

The fourth proportional to 146,413.80, 219,620.70 and 57,637.80 is: 86,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,413.80 : 219,620.70 = 57,637.80 : x
  2. Step 2: Convert to fraction form
    146,413.80/219,620.70 = 57,637.80/x
  3. Step 3: Cross multiply
    146,413.80x = 219,620.70 × 57,637.80
  4. Step 4: Simplify right side
    146,413.80x = 12,658,453,982.46
  5. Step 5: Solve for x
    x = 12,658,453,982.46/146,413.80
  6. Step 6: Final answer
    x = 86,456.70

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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.