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Finding the Fourth Proportional to 196,497.47, 271,166.46 and 107,073.47

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Solution

The fourth proportional to 196,497.47, 271,166.46 and 107,073.47 is: 147,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,497.47 : 271,166.46 = 107,073.47 : x
  2. Step 2: Convert to fraction form
    196,497.47/271,166.46 = 107,073.47/x
  3. Step 3: Cross multiply
    196,497.47x = 271,166.46 × 107,073.47
  4. Step 4: Simplify right side
    196,497.47x = 29,034,733,819.82
  5. Step 5: Solve for x
    x = 29,034,733,819.82/196,497.47
  6. Step 6: Final answer
    x = 147,761.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.