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Finding the Fourth Proportional to 136,442.82, 204,686.10 and 57,568.67

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Solution

The fourth proportional to 136,442.82, 204,686.10 and 57,568.67 is: 86,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,442.82 : 204,686.10 = 57,568.67 : x
  2. Step 2: Convert to fraction form
    136,442.82/204,686.10 = 57,568.67/x
  3. Step 3: Cross multiply
    136,442.82x = 204,686.10 × 57,568.67
  4. Step 4: Simplify right side
    136,442.82x = 11,783,505,233.21
  5. Step 5: Solve for x
    x = 11,783,505,233.21/136,442.82
  6. Step 6: Final answer
    x = 86,362.22

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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.