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Finding the Fourth Proportional to 262,810.06, 394,242.57 and 120,631.06

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Solution

The fourth proportional to 262,810.06, 394,242.57 and 120,631.06 is: 180,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,810.06 : 394,242.57 = 120,631.06 : x
  2. Step 2: Convert to fraction form
    262,810.06/394,242.57 = 120,631.06/x
  3. Step 3: Cross multiply
    262,810.06x = 394,242.57 × 120,631.06
  4. Step 4: Simplify right side
    262,810.06x = 47,557,899,116.22
  5. Step 5: Solve for x
    x = 47,557,899,116.22/262,810.06
  6. Step 6: Final answer
    x = 180,959.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.