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Finding the Fourth Proportional to 361,148.64, 541,769.04 and 136,646.88

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Solution

The fourth proportional to 361,148.64, 541,769.04 and 136,646.88 is: 204,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,148.64 : 541,769.04 = 136,646.88 : x
  2. Step 2: Convert to fraction form
    361,148.64/541,769.04 = 136,646.88/x
  3. Step 3: Cross multiply
    361,148.64x = 541,769.04 × 136,646.88
  4. Step 4: Simplify right side
    361,148.64x = 74,031,048,996.60
  5. Step 5: Solve for x
    x = 74,031,048,996.60/361,148.64
  6. Step 6: Final answer
    x = 204,987.76

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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.