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Finding the Fourth Proportional to 151,076.17, 208,490.21 and 83,096.01

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Solution

The fourth proportional to 151,076.17, 208,490.21 and 83,096.01 is: 114,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,076.17 : 208,490.21 = 83,096.01 : x
  2. Step 2: Convert to fraction form
    151,076.17/208,490.21 = 83,096.01/x
  3. Step 3: Cross multiply
    151,076.17x = 208,490.21 × 83,096.01
  4. Step 4: Simplify right side
    151,076.17x = 17,324,704,575.06
  5. Step 5: Solve for x
    x = 17,324,704,575.06/151,076.17
  6. Step 6: Final answer
    x = 114,675.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.