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Finding the Fourth Proportional to 119,057.76, 178,613.88 and 51,601.08

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Solution

The fourth proportional to 119,057.76, 178,613.88 and 51,601.08 is: 77,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,057.76 : 178,613.88 = 51,601.08 : x
  2. Step 2: Convert to fraction form
    119,057.76/178,613.88 = 51,601.08/x
  3. Step 3: Cross multiply
    119,057.76x = 178,613.88 × 51,601.08
  4. Step 4: Simplify right side
    119,057.76x = 9,216,669,110.99
  5. Step 5: Solve for x
    x = 9,216,669,110.99/119,057.76
  6. Step 6: Final answer
    x = 77,413.43

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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.