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Finding the Fourth Proportional to 197,689.44, 296,531.46 and 47,931

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Solution

The fourth proportional to 197,689.44, 296,531.46 and 47,931 is: 71,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,689.44 : 296,531.46 = 47,931 : x
  2. Step 2: Convert to fraction form
    197,689.44/296,531.46 = 47,931/x
  3. Step 3: Cross multiply
    197,689.44x = 296,531.46 × 47,931
  4. Step 4: Simplify right side
    197,689.44x = 14,213,049,409.26
  5. Step 5: Solve for x
    x = 14,213,049,409.26/197,689.44
  6. Step 6: Final answer
    x = 71,895.85

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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.