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Finding the Fourth Proportional to 97,481.60, 146,222.40 and 56,009.60

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Solution

The fourth proportional to 97,481.60, 146,222.40 and 56,009.60 is: 84,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,481.60 : 146,222.40 = 56,009.60 : x
  2. Step 2: Convert to fraction form
    97,481.60/146,222.40 = 56,009.60/x
  3. Step 3: Cross multiply
    97,481.60x = 146,222.40 × 56,009.60
  4. Step 4: Simplify right side
    97,481.60x = 8,189,858,135.04
  5. Step 5: Solve for x
    x = 8,189,858,135.04/97,481.60
  6. Step 6: Final answer
    x = 84,014.40

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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.