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Finding the Fourth Proportional to 196,266, 270,882.42 and 115,688.76

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Solution

The fourth proportional to 196,266, 270,882.42 and 115,688.76 is: 159,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,266 : 270,882.42 = 115,688.76 : x
  2. Step 2: Convert to fraction form
    196,266/270,882.42 = 115,688.76/x
  3. Step 3: Cross multiply
    196,266x = 270,882.42 × 115,688.76
  4. Step 4: Simplify right side
    196,266x = 31,338,051,275.60
  5. Step 5: Solve for x
    x = 31,338,051,275.60/196,266
  6. Step 6: Final answer
    x = 159,671.32

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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.