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Finding the Fourth Proportional to 196,293.92, 294,440.16 and 48,549.92

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Solution

The fourth proportional to 196,293.92, 294,440.16 and 48,549.92 is: 72,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,293.92 : 294,440.16 = 48,549.92 : x
  2. Step 2: Convert to fraction form
    196,293.92/294,440.16 = 48,549.92/x
  3. Step 3: Cross multiply
    196,293.92x = 294,440.16 × 48,549.92
  4. Step 4: Simplify right side
    196,293.92x = 14,295,046,212.79
  5. Step 5: Solve for x
    x = 14,295,046,212.79/196,293.92
  6. Step 6: Final answer
    x = 72,824.70

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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.