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Finding the Fourth Proportional to 150,308.53, 207,418.38 and 82,325.80

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Solution

The fourth proportional to 150,308.53, 207,418.38 and 82,325.80 is: 113,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,308.53 : 207,418.38 = 82,325.80 : x
  2. Step 2: Convert to fraction form
    150,308.53/207,418.38 = 82,325.80/x
  3. Step 3: Cross multiply
    150,308.53x = 207,418.38 × 82,325.80
  4. Step 4: Simplify right side
    150,308.53x = 17,075,884,068.20
  5. Step 5: Solve for x
    x = 17,075,884,068.20/150,308.53
  6. Step 6: Final answer
    x = 113,605.56

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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.