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Finding the Fourth Proportional to 196,865.80, 295,298.70 and 181,659.40

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Solution

The fourth proportional to 196,865.80, 295,298.70 and 181,659.40 is: 272,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,865.80 : 295,298.70 = 181,659.40 : x
  2. Step 2: Convert to fraction form
    196,865.80/295,298.70 = 181,659.40/x
  3. Step 3: Cross multiply
    196,865.80x = 295,298.70 × 181,659.40
  4. Step 4: Simplify right side
    196,865.80x = 53,643,784,662.78
  5. Step 5: Solve for x
    x = 53,643,784,662.78/196,865.80
  6. Step 6: Final answer
    x = 272,489.10

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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.