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Finding the Fourth Proportional to 262,208.08, 393,370.50 and 75,205

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Solution

The fourth proportional to 262,208.08, 393,370.50 and 75,205 is: 112,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,208.08 : 393,370.50 = 75,205 : x
  2. Step 2: Convert to fraction form
    262,208.08/393,370.50 = 75,205/x
  3. Step 3: Cross multiply
    262,208.08x = 393,370.50 × 75,205
  4. Step 4: Simplify right side
    262,208.08x = 29,583,428,452.50
  5. Step 5: Solve for x
    x = 29,583,428,452.50/262,208.08
  6. Step 6: Final answer
    x = 112,824.24

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