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Finding the Fourth Proportional to 197,152.74, 295,813.84 and 64,073.78

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Solution

The fourth proportional to 197,152.74, 295,813.84 and 64,073.78 is: 96,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,152.74 : 295,813.84 = 64,073.78 : x
  2. Step 2: Convert to fraction form
    197,152.74/295,813.84 = 64,073.78/x
  3. Step 3: Cross multiply
    197,152.74x = 295,813.84 × 64,073.78
  4. Step 4: Simplify right side
    197,152.74x = 18,953,910,905.12
  5. Step 5: Solve for x
    x = 18,953,910,905.12/197,152.74
  6. Step 6: Final answer
    x = 96,138.21

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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.