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Finding the Fourth Proportional to 177,661.62, 266,312.66 and 76,525.61

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Solution

The fourth proportional to 177,661.62, 266,312.66 and 76,525.61 is: 114,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,661.62 : 266,312.66 = 76,525.61 : x
  2. Step 2: Convert to fraction form
    177,661.62/266,312.66 = 76,525.61/x
  3. Step 3: Cross multiply
    177,661.62x = 266,312.66 × 76,525.61
  4. Step 4: Simplify right side
    177,661.62x = 20,379,737,043.03
  5. Step 5: Solve for x
    x = 20,379,737,043.03/177,661.62
  6. Step 6: Final answer
    x = 114,710.97

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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.