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Finding the Fourth Proportional to 196,402.30, 294,615.15 and 61,491.64

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Solution

The fourth proportional to 196,402.30, 294,615.15 and 61,491.64 is: 92,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,402.30 : 294,615.15 = 61,491.64 : x
  2. Step 2: Convert to fraction form
    196,402.30/294,615.15 = 61,491.64/x
  3. Step 3: Cross multiply
    196,402.30x = 294,615.15 × 61,491.64
  4. Step 4: Simplify right side
    196,402.30x = 18,116,368,742.35
  5. Step 5: Solve for x
    x = 18,116,368,742.35/196,402.30
  6. Step 6: Final answer
    x = 92,241.12

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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.