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Finding the Fourth Proportional to 97,798.56, 146,674.24 and 45,157.44

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Solution

The fourth proportional to 97,798.56, 146,674.24 and 45,157.44 is: 67,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,798.56 : 146,674.24 = 45,157.44 : x
  2. Step 2: Convert to fraction form
    97,798.56/146,674.24 = 45,157.44/x
  3. Step 3: Cross multiply
    97,798.56x = 146,674.24 × 45,157.44
  4. Step 4: Simplify right side
    97,798.56x = 6,623,433,192.35
  5. Step 5: Solve for x
    x = 6,623,433,192.35/97,798.56
  6. Step 6: Final answer
    x = 67,725.26

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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.