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Finding the Fourth Proportional to 201,625.41, 302,506.17 and 89,290.15

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Solution

The fourth proportional to 201,625.41, 302,506.17 and 89,290.15 is: 133,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625.41 : 302,506.17 = 89,290.15 : x
  2. Step 2: Convert to fraction form
    201,625.41/302,506.17 = 89,290.15/x
  3. Step 3: Cross multiply
    201,625.41x = 302,506.17 × 89,290.15
  4. Step 4: Simplify right side
    201,625.41x = 27,010,821,295.23
  5. Step 5: Solve for x
    x = 27,010,821,295.23/201,625.41
  6. Step 6: Final answer
    x = 133,965.36

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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.