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Finding the Fourth Proportional to 196,021.50, 294,032.25 and 85,213.50

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Solution

The fourth proportional to 196,021.50, 294,032.25 and 85,213.50 is: 127,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,021.50 : 294,032.25 = 85,213.50 : x
  2. Step 2: Convert to fraction form
    196,021.50/294,032.25 = 85,213.50/x
  3. Step 3: Cross multiply
    196,021.50x = 294,032.25 × 85,213.50
  4. Step 4: Simplify right side
    196,021.50x = 25,055,517,135.38
  5. Step 5: Solve for x
    x = 25,055,517,135.38/196,021.50
  6. Step 6: Final answer
    x = 127,820.25

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1.5x scale

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.