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Finding the Fourth Proportional to 119,497.92, 164,913.08 and 65,782.37

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Solution

The fourth proportional to 119,497.92, 164,913.08 and 65,782.37 is: 90,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,497.92 : 164,913.08 = 65,782.37 : x
  2. Step 2: Convert to fraction form
    119,497.92/164,913.08 = 65,782.37/x
  3. Step 3: Cross multiply
    119,497.92x = 164,913.08 × 65,782.37
  4. Step 4: Simplify right side
    119,497.92x = 10,848,372,092.92
  5. Step 5: Solve for x
    x = 10,848,372,092.92/119,497.92
  6. Step 6: Final answer
    x = 90,782.94

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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.