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Finding the Fourth Proportional to 178,413.76, 246,082.08 and 151,513.84

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Solution

The fourth proportional to 178,413.76, 246,082.08 and 151,513.84 is: 208,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,413.76 : 246,082.08 = 151,513.84 : x
  2. Step 2: Convert to fraction form
    178,413.76/246,082.08 = 151,513.84/x
  3. Step 3: Cross multiply
    178,413.76x = 246,082.08 × 151,513.84
  4. Step 4: Simplify right side
    178,413.76x = 37,284,840,895.99
  5. Step 5: Solve for x
    x = 37,284,840,895.99/178,413.76
  6. Step 6: Final answer
    x = 208,979.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.