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Finding the Fourth Proportional to 295,594.80, 443,305.80 and 106,033.20

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Solution

The fourth proportional to 295,594.80, 443,305.80 and 106,033.20 is: 159,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,594.80 : 443,305.80 = 106,033.20 : x
  2. Step 2: Convert to fraction form
    295,594.80/443,305.80 = 106,033.20/x
  3. Step 3: Cross multiply
    295,594.80x = 443,305.80 × 106,033.20
  4. Step 4: Simplify right side
    295,594.80x = 47,005,132,552.56
  5. Step 5: Solve for x
    x = 47,005,132,552.56/295,594.80
  6. Step 6: Final answer
    x = 159,018.81

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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.