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Finding the Fourth Proportional to 151,096, 208,517.07 and 83,109.46

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Solution

The fourth proportional to 151,096, 208,517.07 and 83,109.46 is: 114,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,096 : 208,517.07 = 83,109.46 : x
  2. Step 2: Convert to fraction form
    151,096/208,517.07 = 83,109.46/x
  3. Step 3: Cross multiply
    151,096x = 208,517.07 × 83,109.46
  4. Step 4: Simplify right side
    151,096x = 17,329,741,088.48
  5. Step 5: Solve for x
    x = 17,329,741,088.48/151,096
  6. Step 6: Final answer
    x = 114,693.58

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