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Finding the Fourth Proportional to 205,415.10, 307,834.65 and 163,367.10

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Solution

The fourth proportional to 205,415.10, 307,834.65 and 163,367.10 is: 244,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.10 : 307,834.65 = 163,367.10 : x
  2. Step 2: Convert to fraction form
    205,415.10/307,834.65 = 163,367.10/x
  3. Step 3: Cross multiply
    205,415.10x = 307,834.65 × 163,367.10
  4. Step 4: Simplify right side
    205,415.10x = 50,290,054,050.02
  5. Step 5: Solve for x
    x = 50,290,054,050.02/205,415.10
  6. Step 6: Final answer
    x = 244,821.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.