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Finding the Fourth Proportional to 149,033.76, 205,665.57 and 84,515.19

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Solution

The fourth proportional to 149,033.76, 205,665.57 and 84,515.19 is: 116,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,033.76 : 205,665.57 = 84,515.19 : x
  2. Step 2: Convert to fraction form
    149,033.76/205,665.57 = 84,515.19/x
  3. Step 3: Cross multiply
    149,033.76x = 205,665.57 × 84,515.19
  4. Step 4: Simplify right side
    149,033.76x = 17,381,864,725.01
  5. Step 5: Solve for x
    x = 17,381,864,725.01/149,033.76
  6. Step 6: Final answer
    x = 116,630.38

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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.