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Finding the Fourth Proportional to 150,667.50, 207,921.16 and 83,599.50

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Solution

The fourth proportional to 150,667.50, 207,921.16 and 83,599.50 is: 115,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,667.50 : 207,921.16 = 83,599.50 : x
  2. Step 2: Convert to fraction form
    150,667.50/207,921.16 = 83,599.50/x
  3. Step 3: Cross multiply
    150,667.50x = 207,921.16 × 83,599.50
  4. Step 4: Simplify right side
    150,667.50x = 17,382,105,015.42
  5. Step 5: Solve for x
    x = 17,382,105,015.42/150,667.50
  6. Step 6: Final answer
    x = 115,367.32

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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.