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Finding the Fourth Proportional to 361,137.32, 541,756.38 and 150,727.08

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Solution

The fourth proportional to 361,137.32, 541,756.38 and 150,727.08 is: 226,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,137.32 : 541,756.38 = 150,727.08 : x
  2. Step 2: Convert to fraction form
    361,137.32/541,756.38 = 150,727.08/x
  3. Step 3: Cross multiply
    361,137.32x = 541,756.38 × 150,727.08
  4. Step 4: Simplify right side
    361,137.32x = 81,657,357,228.77
  5. Step 5: Solve for x
    x = 81,657,357,228.77/361,137.32
  6. Step 6: Final answer
    x = 226,111.66

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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.