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Finding the Fourth Proportional to 150,626.34, 207,866.43 and 82,642.05

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Solution

The fourth proportional to 150,626.34, 207,866.43 and 82,642.05 is: 114,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,626.34 : 207,866.43 = 82,642.05 : x
  2. Step 2: Convert to fraction form
    150,626.34/207,866.43 = 82,642.05/x
  3. Step 3: Cross multiply
    150,626.34x = 207,866.43 × 82,642.05
  4. Step 4: Simplify right side
    150,626.34x = 17,178,507,901.38
  5. Step 5: Solve for x
    x = 17,178,507,901.38/150,626.34
  6. Step 6: Final answer
    x = 114,047.17

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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.