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Finding the Fourth Proportional to 262,266.56, 393,574.80 and 136,023.20

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Solution

The fourth proportional to 262,266.56, 393,574.80 and 136,023.20 is: 204,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,266.56 : 393,574.80 = 136,023.20 : x
  2. Step 2: Convert to fraction form
    262,266.56/393,574.80 = 136,023.20/x
  3. Step 3: Cross multiply
    262,266.56x = 393,574.80 × 136,023.20
  4. Step 4: Simplify right side
    262,266.56x = 53,535,303,735.36
  5. Step 5: Solve for x
    x = 53,535,303,735.36/262,266.56
  6. Step 6: Final answer
    x = 204,125.54

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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.