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Finding the Fourth Proportional to 201,640.84, 302,461.26 and 75,290.93

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Solution

The fourth proportional to 201,640.84, 302,461.26 and 75,290.93 is: 112,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640.84 : 302,461.26 = 75,290.93 : x
  2. Step 2: Convert to fraction form
    201,640.84/302,461.26 = 75,290.93/x
  3. Step 3: Cross multiply
    201,640.84x = 302,461.26 × 75,290.93
  4. Step 4: Simplify right side
    201,640.84x = 22,772,589,554.37
  5. Step 5: Solve for x
    x = 22,772,589,554.37/201,640.84
  6. Step 6: Final answer
    x = 112,936.40

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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.