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Finding the Fourth Proportional to 201,711.56, 302,616 and 61,461.68

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Solution

The fourth proportional to 201,711.56, 302,616 and 61,461.68 is: 92,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.56 : 302,616 = 61,461.68 : x
  2. Step 2: Convert to fraction form
    201,711.56/302,616 = 61,461.68/x
  3. Step 3: Cross multiply
    201,711.56x = 302,616 × 61,461.68
  4. Step 4: Simplify right side
    201,711.56x = 18,599,287,754.88
  5. Step 5: Solve for x
    x = 18,599,287,754.88/201,711.56
  6. Step 6: Final answer
    x = 92,207.35

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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.