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Finding the Fourth Proportional to 136,942.40, 205,413.60 and 91,841.60

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Solution

The fourth proportional to 136,942.40, 205,413.60 and 91,841.60 is: 137,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,942.40 : 205,413.60 = 91,841.60 : x
  2. Step 2: Convert to fraction form
    136,942.40/205,413.60 = 91,841.60/x
  3. Step 3: Cross multiply
    136,942.40x = 205,413.60 × 91,841.60
  4. Step 4: Simplify right side
    136,942.40x = 18,865,513,685.76
  5. Step 5: Solve for x
    x = 18,865,513,685.76/136,942.40
  6. Step 6: Final answer
    x = 137,762.40

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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.