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Finding the Fourth Proportional to 149,143.26, 205,818.10 and 82,075.26

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Solution

The fourth proportional to 149,143.26, 205,818.10 and 82,075.26 is: 113,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,143.26 : 205,818.10 = 82,075.26 : x
  2. Step 2: Convert to fraction form
    149,143.26/205,818.10 = 82,075.26/x
  3. Step 3: Cross multiply
    149,143.26x = 205,818.10 × 82,075.26
  4. Step 4: Simplify right side
    149,143.26x = 16,892,574,070.21
  5. Step 5: Solve for x
    x = 16,892,574,070.21/149,143.26
  6. Step 6: Final answer
    x = 113,264.08

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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.