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Finding the Fourth Proportional to 98,075.25, 147,134.75 and 35,745.75

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Solution

The fourth proportional to 98,075.25, 147,134.75 and 35,745.75 is: 53,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,075.25 : 147,134.75 = 35,745.75 : x
  2. Step 2: Convert to fraction form
    98,075.25/147,134.75 = 35,745.75/x
  3. Step 3: Cross multiply
    98,075.25x = 147,134.75 × 35,745.75
  4. Step 4: Simplify right side
    98,075.25x = 5,259,441,811.08
  5. Step 5: Solve for x
    x = 5,259,441,811.08/98,075.25
  6. Step 6: Final answer
    x = 53,626.60

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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.