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Finding the Fourth Proportional to 270,782.98, 373,682.01 and 149,928.10

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Solution

The fourth proportional to 270,782.98, 373,682.01 and 149,928.10 is: 206,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,782.98 : 373,682.01 = 149,928.10 : x
  2. Step 2: Convert to fraction form
    270,782.98/373,682.01 = 149,928.10/x
  3. Step 3: Cross multiply
    270,782.98x = 373,682.01 × 149,928.10
  4. Step 4: Simplify right side
    270,782.98x = 56,025,433,763.48
  5. Step 5: Solve for x
    x = 56,025,433,763.48/270,782.98
  6. Step 6: Final answer
    x = 206,901.61

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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.