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Finding the Fourth Proportional to 196,709.40, 295,064.10 and 133,723.80

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Solution

The fourth proportional to 196,709.40, 295,064.10 and 133,723.80 is: 200,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,709.40 : 295,064.10 = 133,723.80 : x
  2. Step 2: Convert to fraction form
    196,709.40/295,064.10 = 133,723.80/x
  3. Step 3: Cross multiply
    196,709.40x = 295,064.10 × 133,723.80
  4. Step 4: Simplify right side
    196,709.40x = 39,457,092,695.58
  5. Step 5: Solve for x
    x = 39,457,092,695.58/196,709.40
  6. Step 6: Final answer
    x = 200,585.70

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1.5x scale

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.