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Finding the Fourth Proportional to 150,148.62, 207,201.88 and 82,165.32

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Solution

The fourth proportional to 150,148.62, 207,201.88 and 82,165.32 is: 113,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,148.62 : 207,201.88 = 82,165.32 : x
  2. Step 2: Convert to fraction form
    150,148.62/207,201.88 = 82,165.32/x
  3. Step 3: Cross multiply
    150,148.62x = 207,201.88 × 82,165.32
  4. Step 4: Simplify right side
    150,148.62x = 17,024,808,774.80
  5. Step 5: Solve for x
    x = 17,024,808,774.80/150,148.62
  6. Step 6: Final answer
    x = 113,386.38

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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.