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Finding the Fourth Proportional to 196,332.69, 270,950.49 and 147,847.80

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Solution

The fourth proportional to 196,332.69, 270,950.49 and 147,847.80 is: 204,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,332.69 : 270,950.49 = 147,847.80 : x
  2. Step 2: Convert to fraction form
    196,332.69/270,950.49 = 147,847.80/x
  3. Step 3: Cross multiply
    196,332.69x = 270,950.49 × 147,847.80
  4. Step 4: Simplify right side
    196,332.69x = 40,059,433,855.42
  5. Step 5: Solve for x
    x = 40,059,433,855.42/196,332.69
  6. Step 6: Final answer
    x = 204,038.53

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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.