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Finding the Fourth Proportional to 194,895.71, 292,108.11 and 94,906.07

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Solution

The fourth proportional to 194,895.71, 292,108.11 and 94,906.07 is: 142,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,895.71 : 292,108.11 = 94,906.07 : x
  2. Step 2: Convert to fraction form
    194,895.71/292,108.11 = 94,906.07/x
  3. Step 3: Cross multiply
    194,895.71x = 292,108.11 × 94,906.07
  4. Step 4: Simplify right side
    194,895.71x = 27,722,831,274.69
  5. Step 5: Solve for x
    x = 27,722,831,274.69/194,895.71
  6. Step 6: Final answer
    x = 142,244.44

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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.