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Finding the Fourth Proportional to 201,352.16, 302,029.20 and 61,112

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Solution

The fourth proportional to 201,352.16, 302,029.20 and 61,112 is: 91,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.16 : 302,029.20 = 61,112 : x
  2. Step 2: Convert to fraction form
    201,352.16/302,029.20 = 61,112/x
  3. Step 3: Cross multiply
    201,352.16x = 302,029.20 × 61,112
  4. Step 4: Simplify right side
    201,352.16x = 18,457,608,470.40
  5. Step 5: Solve for x
    x = 18,457,608,470.40/201,352.16
  6. Step 6: Final answer
    x = 91,668.29

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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.