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Finding the Fourth Proportional to 177,624.74, 266,626.75 and 76,472.84

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Solution

The fourth proportional to 177,624.74, 266,626.75 and 76,472.84 is: 114,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624.74 : 266,626.75 = 76,472.84 : x
  2. Step 2: Convert to fraction form
    177,624.74/266,626.75 = 76,472.84/x
  3. Step 3: Cross multiply
    177,624.74x = 266,626.75 × 76,472.84
  4. Step 4: Simplify right side
    177,624.74x = 20,389,704,792.47
  5. Step 5: Solve for x
    x = 20,389,704,792.47/177,624.74
  6. Step 6: Final answer
    x = 114,790.91

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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.