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Finding the Fourth Proportional to 146,308.92, 219,251.34 and 61,952.64

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Solution

The fourth proportional to 146,308.92, 219,251.34 and 61,952.64 is: 92,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,308.92 : 219,251.34 = 61,952.64 : x
  2. Step 2: Convert to fraction form
    146,308.92/219,251.34 = 61,952.64/x
  3. Step 3: Cross multiply
    146,308.92x = 219,251.34 × 61,952.64
  4. Step 4: Simplify right side
    146,308.92x = 13,583,199,336.54
  5. Step 5: Solve for x
    x = 13,583,199,336.54/146,308.92
  6. Step 6: Final answer
    x = 92,839.17

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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.