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Finding the Fourth Proportional to 119,186.64, 178,774.49 and 34,943.40

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Solution

The fourth proportional to 119,186.64, 178,774.49 and 34,943.40 is: 52,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,186.64 : 178,774.49 = 34,943.40 : x
  2. Step 2: Convert to fraction form
    119,186.64/178,774.49 = 34,943.40/x
  3. Step 3: Cross multiply
    119,186.64x = 178,774.49 × 34,943.40
  4. Step 4: Simplify right side
    119,186.64x = 6,246,988,601.22
  5. Step 5: Solve for x
    x = 6,246,988,601.22/119,186.64
  6. Step 6: Final answer
    x = 52,413.50

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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.