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Finding the Fourth Proportional to 193,572.66, 289,891.77 and 116,413.76

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Solution

The fourth proportional to 193,572.66, 289,891.77 and 116,413.76 is: 174,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,572.66 : 289,891.77 = 116,413.76 : x
  2. Step 2: Convert to fraction form
    193,572.66/289,891.77 = 116,413.76/x
  3. Step 3: Cross multiply
    193,572.66x = 289,891.77 × 116,413.76
  4. Step 4: Simplify right side
    193,572.66x = 33,747,390,938.76
  5. Step 5: Solve for x
    x = 33,747,390,938.76/193,572.66
  6. Step 6: Final answer
    x = 174,339.66

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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.