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Finding the Fourth Proportional to 263,808, 395,827.20 and 97,551.36

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Solution

The fourth proportional to 263,808, 395,827.20 and 97,551.36 is: 146,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,808 : 395,827.20 = 97,551.36 : x
  2. Step 2: Convert to fraction form
    263,808/395,827.20 = 97,551.36/x
  3. Step 3: Cross multiply
    263,808x = 395,827.20 × 97,551.36
  4. Step 4: Simplify right side
    263,808x = 38,613,481,684.99
  5. Step 5: Solve for x
    x = 38,613,481,684.99/263,808
  6. Step 6: Final answer
    x = 146,369.64

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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.