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Finding the Fourth Proportional to 361,164.77, 541,898.36 and 158,656.42

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Solution

The fourth proportional to 361,164.77, 541,898.36 and 158,656.42 is: 238,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,164.77 : 541,898.36 = 158,656.42 : x
  2. Step 2: Convert to fraction form
    361,164.77/541,898.36 = 158,656.42/x
  3. Step 3: Cross multiply
    361,164.77x = 541,898.36 × 158,656.42
  4. Step 4: Simplify right side
    361,164.77x = 85,975,653,801.47
  5. Step 5: Solve for x
    x = 85,975,653,801.47/361,164.77
  6. Step 6: Final answer
    x = 238,051.05

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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.