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Finding the Fourth Proportional to 182,304.98, 273,063.80 and 177,843.50

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Solution

The fourth proportional to 182,304.98, 273,063.80 and 177,843.50 is: 266,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,304.98 : 273,063.80 = 177,843.50 : x
  2. Step 2: Convert to fraction form
    182,304.98/273,063.80 = 177,843.50/x
  3. Step 3: Cross multiply
    182,304.98x = 273,063.80 × 177,843.50
  4. Step 4: Simplify right side
    182,304.98x = 48,562,621,915.30
  5. Step 5: Solve for x
    x = 48,562,621,915.30/182,304.98
  6. Step 6: Final answer
    x = 266,381.21

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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.