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Finding the Fourth Proportional to 242,046.24, 362,819.19 and 92,246.32

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Solution

The fourth proportional to 242,046.24, 362,819.19 and 92,246.32 is: 138,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,046.24 : 362,819.19 = 92,246.32 : x
  2. Step 2: Convert to fraction form
    242,046.24/362,819.19 = 92,246.32/x
  3. Step 3: Cross multiply
    242,046.24x = 362,819.19 × 92,246.32
  4. Step 4: Simplify right side
    242,046.24x = 33,468,735,102.88
  5. Step 5: Solve for x
    x = 33,468,735,102.88/242,046.24
  6. Step 6: Final answer
    x = 138,274.14

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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.