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Finding the Fourth Proportional to 204,467.60, 282,178.95 and 123,903.05

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Solution

The fourth proportional to 204,467.60, 282,178.95 and 123,903.05 is: 170,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,467.60 : 282,178.95 = 123,903.05 : x
  2. Step 2: Convert to fraction form
    204,467.60/282,178.95 = 123,903.05/x
  3. Step 3: Cross multiply
    204,467.60x = 282,178.95 × 123,903.05
  4. Step 4: Simplify right side
    204,467.60x = 34,962,832,550.80
  5. Step 5: Solve for x
    x = 34,962,832,550.80/204,467.60
  6. Step 6: Final answer
    x = 170,994.49

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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.