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Finding the Fourth Proportional to 119,663.61, 165,133.26 and 65,947.23

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Solution

The fourth proportional to 119,663.61, 165,133.26 and 65,947.23 is: 91,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,663.61 : 165,133.26 = 65,947.23 : x
  2. Step 2: Convert to fraction form
    119,663.61/165,133.26 = 65,947.23/x
  3. Step 3: Cross multiply
    119,663.61x = 165,133.26 × 65,947.23
  4. Step 4: Simplify right side
    119,663.61x = 10,890,081,077.87
  5. Step 5: Solve for x
    x = 10,890,081,077.87/119,663.61
  6. Step 6: Final answer
    x = 91,005.79

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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.