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Finding the Fourth Proportional to 165,044.47, 227,762.54 and 89,592.97

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Solution

The fourth proportional to 165,044.47, 227,762.54 and 89,592.97 is: 123,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,044.47 : 227,762.54 = 89,592.97 : x
  2. Step 2: Convert to fraction form
    165,044.47/227,762.54 = 89,592.97/x
  3. Step 3: Cross multiply
    165,044.47x = 227,762.54 × 89,592.97
  4. Step 4: Simplify right side
    165,044.47x = 20,405,922,413.34
  5. Step 5: Solve for x
    x = 20,405,922,413.34/165,044.47
  6. Step 6: Final answer
    x = 123,638.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.