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Finding the Fourth Proportional to 197,281, 295,960.38 and 64,152.68

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Solution

The fourth proportional to 197,281, 295,960.38 and 64,152.68 is: 96,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,281 : 295,960.38 = 64,152.68 : x
  2. Step 2: Convert to fraction form
    197,281/295,960.38 = 64,152.68/x
  3. Step 3: Cross multiply
    197,281x = 295,960.38 × 64,152.68
  4. Step 4: Simplify right side
    197,281x = 18,986,651,550.82
  5. Step 5: Solve for x
    x = 18,986,651,550.82/197,281
  6. Step 6: Final answer
    x = 96,241.66

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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.