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Finding the Fourth Proportional to 209,596.92, 314,205.72 and 76,445.96

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Solution

The fourth proportional to 209,596.92, 314,205.72 and 76,445.96 is: 114,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,596.92 : 314,205.72 = 76,445.96 : x
  2. Step 2: Convert to fraction form
    209,596.92/314,205.72 = 76,445.96/x
  3. Step 3: Cross multiply
    209,596.92x = 314,205.72 × 76,445.96
  4. Step 4: Simplify right side
    209,596.92x = 24,019,757,902.89
  5. Step 5: Solve for x
    x = 24,019,757,902.89/209,596.92
  6. Step 6: Final answer
    x = 114,599.77

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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.