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Finding the Fourth Proportional to 561,961.63, 842,940.47 and 202,131.89

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Solution

The fourth proportional to 561,961.63, 842,940.47 and 202,131.89 is: 303,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,961.63 : 842,940.47 = 202,131.89 : x
  2. Step 2: Convert to fraction form
    561,961.63/842,940.47 = 202,131.89/x
  3. Step 3: Cross multiply
    561,961.63x = 842,940.47 × 202,131.89
  4. Step 4: Simplify right side
    561,961.63x = 170,385,149,810.24
  5. Step 5: Solve for x
    x = 170,385,149,810.24/561,961.63
  6. Step 6: Final answer
    x = 303,197.12

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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.