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Finding the Fourth Proportional to 150,682, 207,950.88 and 83,614

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Solution

The fourth proportional to 150,682, 207,950.88 and 83,614 is: 115,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,682 : 207,950.88 = 83,614 : x
  2. Step 2: Convert to fraction form
    150,682/207,950.88 = 83,614/x
  3. Step 3: Cross multiply
    150,682x = 207,950.88 × 83,614
  4. Step 4: Simplify right side
    150,682x = 17,387,604,880.32
  5. Step 5: Solve for x
    x = 17,387,604,880.32/150,682
  6. Step 6: Final answer
    x = 115,392.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.