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Finding the Fourth Proportional to 119,616.31, 165,077.96 and 65,901.32

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Solution

The fourth proportional to 119,616.31, 165,077.96 and 65,901.32 is: 90,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,616.31 : 165,077.96 = 65,901.32 : x
  2. Step 2: Convert to fraction form
    119,616.31/165,077.96 = 65,901.32/x
  3. Step 3: Cross multiply
    119,616.31x = 165,077.96 × 65,901.32
  4. Step 4: Simplify right side
    119,616.31x = 10,878,855,466.91
  5. Step 5: Solve for x
    x = 10,878,855,466.91/119,616.31
  6. Step 6: Final answer
    x = 90,947.93

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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.