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Finding the Fourth Proportional to 194,908.67, 292,382.16 and 81,032.96

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Solution

The fourth proportional to 194,908.67, 292,382.16 and 81,032.96 is: 121,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,908.67 : 292,382.16 = 81,032.96 : x
  2. Step 2: Convert to fraction form
    194,908.67/292,382.16 = 81,032.96/x
  3. Step 3: Cross multiply
    194,908.67x = 292,382.16 × 81,032.96
  4. Step 4: Simplify right side
    194,908.67x = 23,692,592,606.95
  5. Step 5: Solve for x
    x = 23,692,592,606.95/194,908.67
  6. Step 6: Final answer
    x = 121,557.41

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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.