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Finding the Fourth Proportional to 149,534.98, 206,352.57 and 82,466.98

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Solution

The fourth proportional to 149,534.98, 206,352.57 and 82,466.98 is: 113,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,534.98 : 206,352.57 = 82,466.98 : x
  2. Step 2: Convert to fraction form
    149,534.98/206,352.57 = 82,466.98/x
  3. Step 3: Cross multiply
    149,534.98x = 206,352.57 × 82,466.98
  4. Step 4: Simplify right side
    149,534.98x = 17,017,273,263.14
  5. Step 5: Solve for x
    x = 17,017,273,263.14/149,534.98
  6. Step 6: Final answer
    x = 113,801.29

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1.5x scale

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.