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Finding the Fourth Proportional to 202,016.44, 278,802.40 and 150,940.54

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Solution

The fourth proportional to 202,016.44, 278,802.40 and 150,940.54 is: 208,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.44 : 278,802.40 = 150,940.54 : x
  2. Step 2: Convert to fraction form
    202,016.44/278,802.40 = 150,940.54/x
  3. Step 3: Cross multiply
    202,016.44x = 278,802.40 × 150,940.54
  4. Step 4: Simplify right side
    202,016.44x = 42,082,584,809.30
  5. Step 5: Solve for x
    x = 42,082,584,809.30/202,016.44
  6. Step 6: Final answer
    x = 208,312.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.