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Finding the Fourth Proportional to 361,162.02, 541,894.25 and 158,653.68

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Solution

The fourth proportional to 361,162.02, 541,894.25 and 158,653.68 is: 238,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,162.02 : 541,894.25 = 158,653.68 : x
  2. Step 2: Convert to fraction form
    361,162.02/541,894.25 = 158,653.68/x
  3. Step 3: Cross multiply
    361,162.02x = 541,894.25 × 158,653.68
  4. Step 4: Simplify right side
    361,162.02x = 85,973,516,140.07
  5. Step 5: Solve for x
    x = 85,973,516,140.07/361,162.02
  6. Step 6: Final answer
    x = 238,046.95

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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.