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Finding the Fourth Proportional to 201,745.80, 302,509.35 and 83,283.30

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Solution

The fourth proportional to 201,745.80, 302,509.35 and 83,283.30 is: 124,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,745.80 : 302,509.35 = 83,283.30 : x
  2. Step 2: Convert to fraction form
    201,745.80/302,509.35 = 83,283.30/x
  3. Step 3: Cross multiply
    201,745.80x = 302,509.35 × 83,283.30
  4. Step 4: Simplify right side
    201,745.80x = 25,193,976,948.86
  5. Step 5: Solve for x
    x = 25,193,976,948.86/201,745.80
  6. Step 6: Final answer
    x = 124,879.81

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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.