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Finding the Fourth Proportional to 295,662.60, 442,983.60 and 137,566.80

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Solution

The fourth proportional to 295,662.60, 442,983.60 and 137,566.80 is: 206,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,662.60 : 442,983.60 = 137,566.80 : x
  2. Step 2: Convert to fraction form
    295,662.60/442,983.60 = 137,566.80/x
  3. Step 3: Cross multiply
    295,662.60x = 442,983.60 × 137,566.80
  4. Step 4: Simplify right side
    295,662.60x = 60,939,836,304.48
  5. Step 5: Solve for x
    x = 60,939,836,304.48/295,662.60
  6. Step 6: Final answer
    x = 206,112.77

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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.