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Finding the Fourth Proportional to 195,948, 293,923.44 and 48,204

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Solution

The fourth proportional to 195,948, 293,923.44 and 48,204 is: 72,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,948 : 293,923.44 = 48,204 : x
  2. Step 2: Convert to fraction form
    195,948/293,923.44 = 48,204/x
  3. Step 3: Cross multiply
    195,948x = 293,923.44 × 48,204
  4. Step 4: Simplify right side
    195,948x = 14,168,285,501.76
  5. Step 5: Solve for x
    x = 14,168,285,501.76/195,948
  6. Step 6: Final answer
    x = 72,306.35

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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.