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Finding the Fourth Proportional to 107,977.16, 149,020.02 and 60,247.08

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Solution

The fourth proportional to 107,977.16, 149,020.02 and 60,247.08 is: 83,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,977.16 : 149,020.02 = 60,247.08 : x
  2. Step 2: Convert to fraction form
    107,977.16/149,020.02 = 60,247.08/x
  3. Step 3: Cross multiply
    107,977.16x = 149,020.02 × 60,247.08
  4. Step 4: Simplify right side
    107,977.16x = 8,978,021,066.54
  5. Step 5: Solve for x
    x = 8,978,021,066.54/107,977.16
  6. Step 6: Final answer
    x = 83,147.41

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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.