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Finding the Fourth Proportional to 295,464.54, 443,196.81 and 137,803.26

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Solution

The fourth proportional to 295,464.54, 443,196.81 and 137,803.26 is: 206,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,464.54 : 443,196.81 = 137,803.26 : x
  2. Step 2: Convert to fraction form
    295,464.54/443,196.81 = 137,803.26/x
  3. Step 3: Cross multiply
    295,464.54x = 443,196.81 × 137,803.26
  4. Step 4: Simplify right side
    295,464.54x = 61,073,965,239.60
  5. Step 5: Solve for x
    x = 61,073,965,239.60/295,464.54
  6. Step 6: Final answer
    x = 206,704.89

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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.