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Finding the Fourth Proportional to 196,492.76, 294,492.64 and 84,041

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Solution

The fourth proportional to 196,492.76, 294,492.64 and 84,041 is: 125,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,492.76 : 294,492.64 = 84,041 : x
  2. Step 2: Convert to fraction form
    196,492.76/294,492.64 = 84,041/x
  3. Step 3: Cross multiply
    196,492.76x = 294,492.64 × 84,041
  4. Step 4: Simplify right side
    196,492.76x = 24,749,455,958.24
  5. Step 5: Solve for x
    x = 24,749,455,958.24/196,492.76
  6. Step 6: Final answer
    x = 125,956.07

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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.