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Finding the Fourth Proportional to 230,519.97, 345,696.75 and 97,410.51

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Solution

The fourth proportional to 230,519.97, 345,696.75 and 97,410.51 is: 146,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,519.97 : 345,696.75 = 97,410.51 : x
  2. Step 2: Convert to fraction form
    230,519.97/345,696.75 = 97,410.51/x
  3. Step 3: Cross multiply
    230,519.97x = 345,696.75 × 97,410.51
  4. Step 4: Simplify right side
    230,519.97x = 33,674,496,722.84
  5. Step 5: Solve for x
    x = 33,674,496,722.84/230,519.97
  6. Step 6: Final answer
    x = 146,080.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.