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Finding the Fourth Proportional to 150,201, 207,280.62 and 83,133

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Solution

The fourth proportional to 150,201, 207,280.62 and 83,133 is: 114,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,201 : 207,280.62 = 83,133 : x
  2. Step 2: Convert to fraction form
    150,201/207,280.62 = 83,133/x
  3. Step 3: Cross multiply
    150,201x = 207,280.62 × 83,133
  4. Step 4: Simplify right side
    150,201x = 17,231,859,782.46
  5. Step 5: Solve for x
    x = 17,231,859,782.46/150,201
  6. Step 6: Final answer
    x = 114,725.33

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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.