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Finding the Fourth Proportional to 307,101.66, 461,152.53 and 189,520.44

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Solution

The fourth proportional to 307,101.66, 461,152.53 and 189,520.44 is: 284,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,101.66 : 461,152.53 = 189,520.44 : x
  2. Step 2: Convert to fraction form
    307,101.66/461,152.53 = 189,520.44/x
  3. Step 3: Cross multiply
    307,101.66x = 461,152.53 × 189,520.44
  4. Step 4: Simplify right side
    307,101.66x = 87,397,830,392.71
  5. Step 5: Solve for x
    x = 87,397,830,392.71/307,101.66
  6. Step 6: Final answer
    x = 284,589.25

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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.