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Finding the Fourth Proportional to 198,701.30, 298,051.95 and 180,622.10

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Solution

The fourth proportional to 198,701.30, 298,051.95 and 180,622.10 is: 270,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,701.30 : 298,051.95 = 180,622.10 : x
  2. Step 2: Convert to fraction form
    198,701.30/298,051.95 = 180,622.10/x
  3. Step 3: Cross multiply
    198,701.30x = 298,051.95 × 180,622.10
  4. Step 4: Simplify right side
    198,701.30x = 53,834,769,118.10
  5. Step 5: Solve for x
    x = 53,834,769,118.10/198,701.30
  6. Step 6: Final answer
    x = 270,933.15

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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.