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Finding the Fourth Proportional to 137,413.76, 205,852.20 and 94,711.60

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Solution

The fourth proportional to 137,413.76, 205,852.20 and 94,711.60 is: 141,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.76 : 205,852.20 = 94,711.60 : x
  2. Step 2: Convert to fraction form
    137,413.76/205,852.20 = 94,711.60/x
  3. Step 3: Cross multiply
    137,413.76x = 205,852.20 × 94,711.60
  4. Step 4: Simplify right side
    137,413.76x = 19,496,591,225.52
  5. Step 5: Solve for x
    x = 19,496,591,225.52/137,413.76
  6. Step 6: Final answer
    x = 141,882.38

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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.