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Finding the Fourth Proportional to 150,335.02, 207,459.84 and 82,351.36

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Solution

The fourth proportional to 150,335.02, 207,459.84 and 82,351.36 is: 113,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,335.02 : 207,459.84 = 82,351.36 : x
  2. Step 2: Convert to fraction form
    150,335.02/207,459.84 = 82,351.36/x
  3. Step 3: Cross multiply
    150,335.02x = 207,459.84 × 82,351.36
  4. Step 4: Simplify right side
    150,335.02x = 17,084,599,969.38
  5. Step 5: Solve for x
    x = 17,084,599,969.38/150,335.02
  6. Step 6: Final answer
    x = 113,643.51

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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.