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Finding the Fourth Proportional to 149,330, 206,075.40 and 82,266.32

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Solution

The fourth proportional to 149,330, 206,075.40 and 82,266.32 is: 113,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,330 : 206,075.40 = 82,266.32 : x
  2. Step 2: Convert to fraction form
    149,330/206,075.40 = 82,266.32/x
  3. Step 3: Cross multiply
    149,330x = 206,075.40 × 82,266.32
  4. Step 4: Simplify right side
    149,330x = 16,953,064,800.53
  5. Step 5: Solve for x
    x = 16,953,064,800.53/149,330
  6. Step 6: Final answer
    x = 113,527.52

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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.