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Finding the Fourth Proportional to 198,222, 297,330.34 and 48,463.58

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Solution

The fourth proportional to 198,222, 297,330.34 and 48,463.58 is: 72,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,222 : 297,330.34 = 48,463.58 : x
  2. Step 2: Convert to fraction form
    198,222/297,330.34 = 48,463.58/x
  3. Step 3: Cross multiply
    198,222x = 297,330.34 × 48,463.58
  4. Step 4: Simplify right side
    198,222x = 14,409,692,719.02
  5. Step 5: Solve for x
    x = 14,409,692,719.02/198,222
  6. Step 6: Final answer
    x = 72,694.72

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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.