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Finding the Fourth Proportional to 150,510.22, 207,694.47 and 82,526.38

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Solution

The fourth proportional to 150,510.22, 207,694.47 and 82,526.38 is: 113,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,510.22 : 207,694.47 = 82,526.38 : x
  2. Step 2: Convert to fraction form
    150,510.22/207,694.47 = 82,526.38/x
  3. Step 3: Cross multiply
    150,510.22x = 207,694.47 × 82,526.38
  4. Step 4: Simplify right side
    150,510.22x = 17,140,272,755.12
  5. Step 5: Solve for x
    x = 17,140,272,755.12/150,510.22
  6. Step 6: Final answer
    x = 113,881.12

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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.