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Finding the Fourth Proportional to 97,649.79, 146,474.69 and 92,663.43

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Solution

The fourth proportional to 97,649.79, 146,474.69 and 92,663.43 is: 138,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,649.79 : 146,474.69 = 92,663.43 : x
  2. Step 2: Convert to fraction form
    97,649.79/146,474.69 = 92,663.43/x
  3. Step 3: Cross multiply
    97,649.79x = 146,474.69 × 92,663.43
  4. Step 4: Simplify right side
    97,649.79x = 13,572,846,720.27
  5. Step 5: Solve for x
    x = 13,572,846,720.27/97,649.79
  6. Step 6: Final answer
    x = 138,995.15

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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.