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Finding the Fourth Proportional to 166,413.80, 249,102.30 and 161,229.80

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Solution

The fourth proportional to 166,413.80, 249,102.30 and 161,229.80 is: 241,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,413.80 : 249,102.30 = 161,229.80 : x
  2. Step 2: Convert to fraction form
    166,413.80/249,102.30 = 161,229.80/x
  3. Step 3: Cross multiply
    166,413.80x = 249,102.30 × 161,229.80
  4. Step 4: Simplify right side
    166,413.80x = 40,162,714,008.54
  5. Step 5: Solve for x
    x = 40,162,714,008.54/166,413.80
  6. Step 6: Final answer
    x = 241,342.45

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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.