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Finding the Fourth Proportional to 150,685, 207,955.02 and 83,617

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Solution

The fourth proportional to 150,685, 207,955.02 and 83,617 is: 115,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,685 : 207,955.02 = 83,617 : x
  2. Step 2: Convert to fraction form
    150,685/207,955.02 = 83,617/x
  3. Step 3: Cross multiply
    150,685x = 207,955.02 × 83,617
  4. Step 4: Simplify right side
    150,685x = 17,388,574,907.34
  5. Step 5: Solve for x
    x = 17,388,574,907.34/150,685
  6. Step 6: Final answer
    x = 115,396.85

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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.