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Finding the Fourth Proportional to 182,096.66, 273,223.80 and 97,758.43

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Solution

The fourth proportional to 182,096.66, 273,223.80 and 97,758.43 is: 146,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,096.66 : 273,223.80 = 97,758.43 : x
  2. Step 2: Convert to fraction form
    182,096.66/273,223.80 = 97,758.43/x
  3. Step 3: Cross multiply
    182,096.66x = 273,223.80 × 97,758.43
  4. Step 4: Simplify right side
    182,096.66x = 26,709,929,043.57
  5. Step 5: Solve for x
    x = 26,709,929,043.57/182,096.66
  6. Step 6: Final answer
    x = 146,679.95

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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.