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Finding the Fourth Proportional to 177,906.75, 266,688.84 and 65,525.67

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Solution

The fourth proportional to 177,906.75, 266,688.84 and 65,525.67 is: 98,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,906.75 : 266,688.84 = 65,525.67 : x
  2. Step 2: Convert to fraction form
    177,906.75/266,688.84 = 65,525.67/x
  3. Step 3: Cross multiply
    177,906.75x = 266,688.84 × 65,525.67
  4. Step 4: Simplify right side
    177,906.75x = 17,474,964,922.52
  5. Step 5: Solve for x
    x = 17,474,964,922.52/177,906.75
  6. Step 6: Final answer
    x = 98,225.42

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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.