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Finding the Fourth Proportional to 197,288.56, 295,748.10 and 96,064.48

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Solution

The fourth proportional to 197,288.56, 295,748.10 and 96,064.48 is: 144,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,288.56 : 295,748.10 = 96,064.48 : x
  2. Step 2: Convert to fraction form
    197,288.56/295,748.10 = 96,064.48/x
  3. Step 3: Cross multiply
    197,288.56x = 295,748.10 × 96,064.48
  4. Step 4: Simplify right side
    197,288.56x = 28,410,887,437.49
  5. Step 5: Solve for x
    x = 28,410,887,437.49/197,288.56
  6. Step 6: Final answer
    x = 144,006.77

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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.