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Finding the Fourth Proportional to 223,498.48, 335,468.04 and 164,167.60

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Solution

The fourth proportional to 223,498.48, 335,468.04 and 164,167.60 is: 246,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,498.48 : 335,468.04 = 164,167.60 : x
  2. Step 2: Convert to fraction form
    223,498.48/335,468.04 = 164,167.60/x
  3. Step 3: Cross multiply
    223,498.48x = 335,468.04 × 164,167.60
  4. Step 4: Simplify right side
    223,498.48x = 55,072,983,003.50
  5. Step 5: Solve for x
    x = 55,072,983,003.50/223,498.48
  6. Step 6: Final answer
    x = 246,413.23

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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.