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Finding the Fourth Proportional to 97,413.40, 146,177.70 and 71,051.80

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Solution

The fourth proportional to 97,413.40, 146,177.70 and 71,051.80 is: 106,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,413.40 : 146,177.70 = 71,051.80 : x
  2. Step 2: Convert to fraction form
    97,413.40/146,177.70 = 71,051.80/x
  3. Step 3: Cross multiply
    97,413.40x = 146,177.70 × 71,051.80
  4. Step 4: Simplify right side
    97,413.40x = 10,386,188,704.86
  5. Step 5: Solve for x
    x = 10,386,188,704.86/97,413.40
  6. Step 6: Final answer
    x = 106,619.71

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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.