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Finding the Fourth Proportional to 177,413.70, 266,120.55 and 165,663.30

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Solution

The fourth proportional to 177,413.70, 266,120.55 and 165,663.30 is: 248,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,413.70 : 266,120.55 = 165,663.30 : x
  2. Step 2: Convert to fraction form
    177,413.70/266,120.55 = 165,663.30/x
  3. Step 3: Cross multiply
    177,413.70x = 266,120.55 × 165,663.30
  4. Step 4: Simplify right side
    177,413.70x = 44,086,408,510.82
  5. Step 5: Solve for x
    x = 44,086,408,510.82/177,413.70
  6. Step 6: Final answer
    x = 248,494.95

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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.