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Finding the Fourth Proportional to 196,297.30, 270,869.93 and 110,265.94

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Solution

The fourth proportional to 196,297.30, 270,869.93 and 110,265.94 is: 152,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,297.30 : 270,869.93 = 110,265.94 : x
  2. Step 2: Convert to fraction form
    196,297.30/270,869.93 = 110,265.94/x
  3. Step 3: Cross multiply
    196,297.30x = 270,869.93 × 110,265.94
  4. Step 4: Simplify right side
    196,297.30x = 29,867,727,449.18
  5. Step 5: Solve for x
    x = 29,867,727,449.18/196,297.30
  6. Step 6: Final answer
    x = 152,155.57

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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.