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Finding the Fourth Proportional to 97,967.20, 147,027.60 and 45,383.20

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Solution

The fourth proportional to 97,967.20, 147,027.60 and 45,383.20 is: 68,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967.20 : 147,027.60 = 45,383.20 : x
  2. Step 2: Convert to fraction form
    97,967.20/147,027.60 = 45,383.20/x
  3. Step 3: Cross multiply
    97,967.20x = 147,027.60 × 45,383.20
  4. Step 4: Simplify right side
    97,967.20x = 6,672,582,976.32
  5. Step 5: Solve for x
    x = 6,672,582,976.32/97,967.20
  6. Step 6: Final answer
    x = 68,110.38

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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.