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Finding the Fourth Proportional to 201,726.99, 302,612.42 and 75,427.74

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Solution

The fourth proportional to 201,726.99, 302,612.42 and 75,427.74 is: 113,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,726.99 : 302,612.42 = 75,427.74 : x
  2. Step 2: Convert to fraction form
    201,726.99/302,612.42 = 75,427.74/x
  3. Step 3: Cross multiply
    201,726.99x = 302,612.42 × 75,427.74
  4. Step 4: Simplify right side
    201,726.99x = 22,825,370,559.39
  5. Step 5: Solve for x
    x = 22,825,370,559.39/201,726.99
  6. Step 6: Final answer
    x = 113,149.81

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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.