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Finding the Fourth Proportional to 106,219.40, 159,137.10 and 61,809.80

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Solution

The fourth proportional to 106,219.40, 159,137.10 and 61,809.80 is: 92,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,219.40 : 159,137.10 = 61,809.80 : x
  2. Step 2: Convert to fraction form
    106,219.40/159,137.10 = 61,809.80/x
  3. Step 3: Cross multiply
    106,219.40x = 159,137.10 × 61,809.80
  4. Step 4: Simplify right side
    106,219.40x = 9,836,232,323.58
  5. Step 5: Solve for x
    x = 9,836,232,323.58/106,219.40
  6. Step 6: Final answer
    x = 92,602.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.