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Finding the Fourth Proportional to 197,643.78, 296,466.30 and 47,883.78

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Solution

The fourth proportional to 197,643.78, 296,466.30 and 47,883.78 is: 71,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,643.78 : 296,466.30 = 47,883.78 : x
  2. Step 2: Convert to fraction form
    197,643.78/296,466.30 = 47,883.78/x
  3. Step 3: Cross multiply
    197,643.78x = 296,466.30 × 47,883.78
  4. Step 4: Simplify right side
    197,643.78x = 14,195,927,086.61
  5. Step 5: Solve for x
    x = 14,195,927,086.61/197,643.78
  6. Step 6: Final answer
    x = 71,825.82

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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.