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Finding the Fourth Proportional to 198,732.52, 298,090.14 and 48,965.68

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Solution

The fourth proportional to 198,732.52, 298,090.14 and 48,965.68 is: 73,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,732.52 : 298,090.14 = 48,965.68 : x
  2. Step 2: Convert to fraction form
    198,732.52/298,090.14 = 48,965.68/x
  3. Step 3: Cross multiply
    198,732.52x = 298,090.14 × 48,965.68
  4. Step 4: Simplify right side
    198,732.52x = 14,596,186,406.40
  5. Step 5: Solve for x
    x = 14,596,186,406.40/198,732.52
  6. Step 6: Final answer
    x = 73,446.39

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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.