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Finding the Fourth Proportional to 149,292.72, 206,024.18 and 81,310

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Solution

The fourth proportional to 149,292.72, 206,024.18 and 81,310 is: 112,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,292.72 : 206,024.18 = 81,310 : x
  2. Step 2: Convert to fraction form
    149,292.72/206,024.18 = 81,310/x
  3. Step 3: Cross multiply
    149,292.72x = 206,024.18 × 81,310
  4. Step 4: Simplify right side
    149,292.72x = 16,751,826,075.80
  5. Step 5: Solve for x
    x = 16,751,826,075.80/149,292.72
  6. Step 6: Final answer
    x = 112,207.92

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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.