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Finding the Fourth Proportional to 118,666, 163,759.24 and 73,954

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Solution

The fourth proportional to 118,666, 163,759.24 and 73,954 is: 102,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,666 : 163,759.24 = 73,954 : x
  2. Step 2: Convert to fraction form
    118,666/163,759.24 = 73,954/x
  3. Step 3: Cross multiply
    118,666x = 163,759.24 × 73,954
  4. Step 4: Simplify right side
    118,666x = 12,110,650,834.96
  5. Step 5: Solve for x
    x = 12,110,650,834.96/118,666
  6. Step 6: Final answer
    x = 102,056.62

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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.