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Finding the Fourth Proportional to 122,096.48, 182,996.84 and 51,828.24

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Solution

The fourth proportional to 122,096.48, 182,996.84 and 51,828.24 is: 77,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,096.48 : 182,996.84 = 51,828.24 : x
  2. Step 2: Convert to fraction form
    122,096.48/182,996.84 = 51,828.24/x
  3. Step 3: Cross multiply
    122,096.48x = 182,996.84 × 51,828.24
  4. Step 4: Simplify right side
    122,096.48x = 9,484,404,142.76
  5. Step 5: Solve for x
    x = 9,484,404,142.76/122,096.48
  6. Step 6: Final answer
    x = 77,679.59

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1.5x scale

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.