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Finding the Fourth Proportional to 201,743.46, 302,615.19 and 61,500.87

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Solution

The fourth proportional to 201,743.46, 302,615.19 and 61,500.87 is: 92,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,743.46 : 302,615.19 = 61,500.87 : x
  2. Step 2: Convert to fraction form
    201,743.46/302,615.19 = 61,500.87/x
  3. Step 3: Cross multiply
    201,743.46x = 302,615.19 × 61,500.87
  4. Step 4: Simplify right side
    201,743.46x = 18,611,097,460.22
  5. Step 5: Solve for x
    x = 18,611,097,460.22/201,743.46
  6. Step 6: Final answer
    x = 92,251.31

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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.