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Finding the Fourth Proportional to 358,016.82, 536,942.07 and 105,229.70

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Solution

The fourth proportional to 358,016.82, 536,942.07 and 105,229.70 is: 157,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,016.82 : 536,942.07 = 105,229.70 : x
  2. Step 2: Convert to fraction form
    358,016.82/536,942.07 = 105,229.70/x
  3. Step 3: Cross multiply
    358,016.82x = 536,942.07 × 105,229.70
  4. Step 4: Simplify right side
    358,016.82x = 56,502,250,258.77
  5. Step 5: Solve for x
    x = 56,502,250,258.77/358,016.82
  6. Step 6: Final answer
    x = 157,820.10

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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.