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Finding the Fourth Proportional to 179,802.92, 269,657.64 and 53,413.43

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Solution

The fourth proportional to 179,802.92, 269,657.64 and 53,413.43 is: 80,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,802.92 : 269,657.64 = 53,413.43 : x
  2. Step 2: Convert to fraction form
    179,802.92/269,657.64 = 53,413.43/x
  3. Step 3: Cross multiply
    179,802.92x = 269,657.64 × 53,413.43
  4. Step 4: Simplify right side
    179,802.92x = 14,403,338,129.82
  5. Step 5: Solve for x
    x = 14,403,338,129.82/179,802.92
  6. Step 6: Final answer
    x = 80,106.25

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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.