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Finding the Fourth Proportional to 150,509.33, 207,704.87 and 82,526.12

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Solution

The fourth proportional to 150,509.33, 207,704.87 and 82,526.12 is: 113,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,509.33 : 207,704.87 = 82,526.12 : x
  2. Step 2: Convert to fraction form
    150,509.33/207,704.87 = 82,526.12/x
  3. Step 3: Cross multiply
    150,509.33x = 207,704.87 × 82,526.12
  4. Step 4: Simplify right side
    150,509.33x = 17,141,077,751.78
  5. Step 5: Solve for x
    x = 17,141,077,751.78/150,509.33
  6. Step 6: Final answer
    x = 113,887.15

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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.