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Finding the Fourth Proportional to 196,223.40, 294,335.10 and 48,479.40

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Solution

The fourth proportional to 196,223.40, 294,335.10 and 48,479.40 is: 72,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,223.40 : 294,335.10 = 48,479.40 : x
  2. Step 2: Convert to fraction form
    196,223.40/294,335.10 = 48,479.40/x
  3. Step 3: Cross multiply
    196,223.40x = 294,335.10 × 48,479.40
  4. Step 4: Simplify right side
    196,223.40x = 14,269,189,046.94
  5. Step 5: Solve for x
    x = 14,269,189,046.94/196,223.40
  6. Step 6: Final answer
    x = 72,719.10

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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.