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Finding the Fourth Proportional to 205,574.33, 283,676.90 and 124,990.67

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Solution

The fourth proportional to 205,574.33, 283,676.90 and 124,990.67 is: 172,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,574.33 : 283,676.90 = 124,990.67 : x
  2. Step 2: Convert to fraction form
    205,574.33/283,676.90 = 124,990.67/x
  3. Step 3: Cross multiply
    205,574.33x = 283,676.90 × 124,990.67
  4. Step 4: Simplify right side
    205,574.33x = 35,456,963,751.19
  5. Step 5: Solve for x
    x = 35,456,963,751.19/205,574.33
  6. Step 6: Final answer
    x = 172,477.59

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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.