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Finding the Fourth Proportional to 246,413.66, 369,641.23 and 77,930.24

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Solution

The fourth proportional to 246,413.66, 369,641.23 and 77,930.24 is: 116,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,413.66 : 369,641.23 = 77,930.24 : x
  2. Step 2: Convert to fraction form
    246,413.66/369,641.23 = 77,930.24/x
  3. Step 3: Cross multiply
    246,413.66x = 369,641.23 × 77,930.24
  4. Step 4: Simplify right side
    246,413.66x = 28,806,229,767.80
  5. Step 5: Solve for x
    x = 28,806,229,767.80/246,413.66
  6. Step 6: Final answer
    x = 116,901.92

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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.