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Finding the Fourth Proportional to 196,873.91, 271,706.40 and 120,443.90

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Solution

The fourth proportional to 196,873.91, 271,706.40 and 120,443.90 is: 166,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,873.91 : 271,706.40 = 120,443.90 : x
  2. Step 2: Convert to fraction form
    196,873.91/271,706.40 = 120,443.90/x
  3. Step 3: Cross multiply
    196,873.91x = 271,706.40 × 120,443.90
  4. Step 4: Simplify right side
    196,873.91x = 32,725,377,868.74
  5. Step 5: Solve for x
    x = 32,725,377,868.74/196,873.91
  6. Step 6: Final answer
    x = 166,225.07

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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.