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Finding the Fourth Proportional to 97,474.70, 146,212.05 and 64,232.30

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Solution

The fourth proportional to 97,474.70, 146,212.05 and 64,232.30 is: 96,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,474.70 : 146,212.05 = 64,232.30 : x
  2. Step 2: Convert to fraction form
    97,474.70/146,212.05 = 64,232.30/x
  3. Step 3: Cross multiply
    97,474.70x = 146,212.05 × 64,232.30
  4. Step 4: Simplify right side
    97,474.70x = 9,391,536,259.22
  5. Step 5: Solve for x
    x = 9,391,536,259.22/97,474.70
  6. Step 6: Final answer
    x = 96,348.45

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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.