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Finding the Fourth Proportional to 188,450.20, 282,675.30 and 48,201.40

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Solution

The fourth proportional to 188,450.20, 282,675.30 and 48,201.40 is: 72,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,450.20 : 282,675.30 = 48,201.40 : x
  2. Step 2: Convert to fraction form
    188,450.20/282,675.30 = 48,201.40/x
  3. Step 3: Cross multiply
    188,450.20x = 282,675.30 × 48,201.40
  4. Step 4: Simplify right side
    188,450.20x = 13,625,345,205.42
  5. Step 5: Solve for x
    x = 13,625,345,205.42/188,450.20
  6. Step 6: Final answer
    x = 72,302.10

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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.