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Finding the Fourth Proportional to 201,919.40, 302,879.10 and 154,680.20

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Solution

The fourth proportional to 201,919.40, 302,879.10 and 154,680.20 is: 232,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.40 : 302,879.10 = 154,680.20 : x
  2. Step 2: Convert to fraction form
    201,919.40/302,879.10 = 154,680.20/x
  3. Step 3: Cross multiply
    201,919.40x = 302,879.10 × 154,680.20
  4. Step 4: Simplify right side
    201,919.40x = 46,849,399,763.82
  5. Step 5: Solve for x
    x = 46,849,399,763.82/201,919.40
  6. Step 6: Final answer
    x = 232,020.30

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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.