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Finding the Fourth Proportional to 167,075.70, 250,641.63 and 82,840.02

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Solution

The fourth proportional to 167,075.70, 250,641.63 and 82,840.02 is: 124,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,075.70 : 250,641.63 = 82,840.02 : x
  2. Step 2: Convert to fraction form
    167,075.70/250,641.63 = 82,840.02/x
  3. Step 3: Cross multiply
    167,075.70x = 250,641.63 × 82,840.02
  4. Step 4: Simplify right side
    167,075.70x = 20,763,157,642.03
  5. Step 5: Solve for x
    x = 20,763,157,642.03/167,075.70
  6. Step 6: Final answer
    x = 124,273.95

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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.