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Finding the Fourth Proportional to 86,413.40, 129,620.10 and 81,492.65

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Solution

The fourth proportional to 86,413.40, 129,620.10 and 81,492.65 is: 122,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,413.40 : 129,620.10 = 81,492.65 : x
  2. Step 2: Convert to fraction form
    86,413.40/129,620.10 = 81,492.65/x
  3. Step 3: Cross multiply
    86,413.40x = 129,620.10 × 81,492.65
  4. Step 4: Simplify right side
    86,413.40x = 10,563,085,442.27
  5. Step 5: Solve for x
    x = 10,563,085,442.27/86,413.40
  6. Step 6: Final answer
    x = 122,238.98

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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.