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Finding the Fourth Proportional to 196,297.60, 294,100.80 and 161,046.40

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Solution

The fourth proportional to 196,297.60, 294,100.80 and 161,046.40 is: 241,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,297.60 : 294,100.80 = 161,046.40 : x
  2. Step 2: Convert to fraction form
    196,297.60/294,100.80 = 161,046.40/x
  3. Step 3: Cross multiply
    196,297.60x = 294,100.80 × 161,046.40
  4. Step 4: Simplify right side
    196,297.60x = 47,363,875,077.12
  5. Step 5: Solve for x
    x = 47,363,875,077.12/196,297.60
  6. Step 6: Final answer
    x = 241,286.06

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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.