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Finding the Fourth Proportional to 119,846.50, 165,388.17 and 66,854.50

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Solution

The fourth proportional to 119,846.50, 165,388.17 and 66,854.50 is: 92,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,846.50 : 165,388.17 = 66,854.50 : x
  2. Step 2: Convert to fraction form
    119,846.50/165,388.17 = 66,854.50/x
  3. Step 3: Cross multiply
    119,846.50x = 165,388.17 × 66,854.50
  4. Step 4: Simplify right side
    119,846.50x = 11,056,943,411.27
  5. Step 5: Solve for x
    x = 11,056,943,411.27/119,846.50
  6. Step 6: Final answer
    x = 92,259.21

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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.