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Finding the Fourth Proportional to 201,766.36, 302,377.38 and 77,039.32

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Solution

The fourth proportional to 201,766.36, 302,377.38 and 77,039.32 is: 115,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,766.36 : 302,377.38 = 77,039.32 : x
  2. Step 2: Convert to fraction form
    201,766.36/302,377.38 = 77,039.32/x
  3. Step 3: Cross multiply
    201,766.36x = 302,377.38 × 77,039.32
  4. Step 4: Simplify right side
    201,766.36x = 23,294,947,738.58
  5. Step 5: Solve for x
    x = 23,294,947,738.58/201,766.36
  6. Step 6: Final answer
    x = 115,455.06

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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.