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Finding the Fourth Proportional to 98,413.94, 147,584.38 and 77,395.04

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Solution

The fourth proportional to 98,413.94, 147,584.38 and 77,395.04 is: 116,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.94 : 147,584.38 = 77,395.04 : x
  2. Step 2: Convert to fraction form
    98,413.94/147,584.38 = 77,395.04/x
  3. Step 3: Cross multiply
    98,413.94x = 147,584.38 × 77,395.04
  4. Step 4: Simplify right side
    98,413.94x = 11,422,299,590.79
  5. Step 5: Solve for x
    x = 11,422,299,590.79/98,413.94
  6. Step 6: Final answer
    x = 116,063.84

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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.