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Finding the Fourth Proportional to 150,506.62, 207,696.09 and 83,438.62

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Solution

The fourth proportional to 150,506.62, 207,696.09 and 83,438.62 is: 115,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,506.62 : 207,696.09 = 83,438.62 : x
  2. Step 2: Convert to fraction form
    150,506.62/207,696.09 = 83,438.62/x
  3. Step 3: Cross multiply
    150,506.62x = 207,696.09 × 83,438.62
  4. Step 4: Simplify right side
    150,506.62x = 17,329,875,129.00
  5. Step 5: Solve for x
    x = 17,329,875,129.00/150,506.62
  6. Step 6: Final answer
    x = 115,143.61

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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.