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Finding the Fourth Proportional to 221,834.57, 332,596.02 and 77,705.15

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Solution

The fourth proportional to 221,834.57, 332,596.02 and 77,705.15 is: 116,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,834.57 : 332,596.02 = 77,705.15 : x
  2. Step 2: Convert to fraction form
    221,834.57/332,596.02 = 77,705.15/x
  3. Step 3: Cross multiply
    221,834.57x = 332,596.02 × 77,705.15
  4. Step 4: Simplify right side
    221,834.57x = 25,844,423,623.50
  5. Step 5: Solve for x
    x = 25,844,423,623.50/221,834.57
  6. Step 6: Final answer
    x = 116,503.14

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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.