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Finding the Fourth Proportional to 196,307.68, 270,898.70 and 109,092.52

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Solution

The fourth proportional to 196,307.68, 270,898.70 and 109,092.52 is: 150,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,307.68 : 270,898.70 = 109,092.52 : x
  2. Step 2: Convert to fraction form
    196,307.68/270,898.70 = 109,092.52/x
  3. Step 3: Cross multiply
    196,307.68x = 270,898.70 × 109,092.52
  4. Step 4: Simplify right side
    196,307.68x = 29,553,021,847.72
  5. Step 5: Solve for x
    x = 29,553,021,847.72/196,307.68
  6. Step 6: Final answer
    x = 150,544.40

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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.