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Finding the Fourth Proportional to 262,093.70, 392,946.15 and 112,211.30

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Solution

The fourth proportional to 262,093.70, 392,946.15 and 112,211.30 is: 168,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,093.70 : 392,946.15 = 112,211.30 : x
  2. Step 2: Convert to fraction form
    262,093.70/392,946.15 = 112,211.30/x
  3. Step 3: Cross multiply
    262,093.70x = 392,946.15 × 112,211.30
  4. Step 4: Simplify right side
    262,093.70x = 44,092,998,321.50
  5. Step 5: Solve for x
    x = 44,092,998,321.50/262,093.70
  6. Step 6: Final answer
    x = 168,233.72

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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.