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Finding the Fourth Proportional to 197,714.52, 296,570.70 and 47,954.52

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Solution

The fourth proportional to 197,714.52, 296,570.70 and 47,954.52 is: 71,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,714.52 : 296,570.70 = 47,954.52 : x
  2. Step 2: Convert to fraction form
    197,714.52/296,570.70 = 47,954.52/x
  3. Step 3: Cross multiply
    197,714.52x = 296,570.70 × 47,954.52
  4. Step 4: Simplify right side
    197,714.52x = 14,221,905,564.56
  5. Step 5: Solve for x
    x = 14,221,905,564.56/197,714.52
  6. Step 6: Final answer
    x = 71,931.52

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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.