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Finding the Fourth Proportional to 197,473.60, 296,246.04 and 64,342

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Solution

The fourth proportional to 197,473.60, 296,246.04 and 64,342 is: 96,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,473.60 : 296,246.04 = 64,342 : x
  2. Step 2: Convert to fraction form
    197,473.60/296,246.04 = 64,342/x
  3. Step 3: Cross multiply
    197,473.60x = 296,246.04 × 64,342
  4. Step 4: Simplify right side
    197,473.60x = 19,061,062,705.68
  5. Step 5: Solve for x
    x = 19,061,062,705.68/197,473.60
  6. Step 6: Final answer
    x = 96,524.61

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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.