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Finding the Fourth Proportional to 151,013.36, 208,401 and 83,033.12

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Solution

The fourth proportional to 151,013.36, 208,401 and 83,033.12 is: 114,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,013.36 : 208,401 = 83,033.12 : x
  2. Step 2: Convert to fraction form
    151,013.36/208,401 = 83,033.12/x
  3. Step 3: Cross multiply
    151,013.36x = 208,401 × 83,033.12
  4. Step 4: Simplify right side
    151,013.36x = 17,304,185,241.12
  5. Step 5: Solve for x
    x = 17,304,185,241.12/151,013.36
  6. Step 6: Final answer
    x = 114,587.11

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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.