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Finding the Fourth Proportional to 198,687.66, 298,032.18 and 48,931.50

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Solution

The fourth proportional to 198,687.66, 298,032.18 and 48,931.50 is: 73,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,687.66 : 298,032.18 = 48,931.50 : x
  2. Step 2: Convert to fraction form
    198,687.66/298,032.18 = 48,931.50/x
  3. Step 3: Cross multiply
    198,687.66x = 298,032.18 × 48,931.50
  4. Step 4: Simplify right side
    198,687.66x = 14,583,161,615.67
  5. Step 5: Solve for x
    x = 14,583,161,615.67/198,687.66
  6. Step 6: Final answer
    x = 73,397.42

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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.