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Finding the Fourth Proportional to 254,183.16, 350,772.90 and 141,006

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Solution

The fourth proportional to 254,183.16, 350,772.90 and 141,006 is: 194,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,183.16 : 350,772.90 = 141,006 : x
  2. Step 2: Convert to fraction form
    254,183.16/350,772.90 = 141,006/x
  3. Step 3: Cross multiply
    254,183.16x = 350,772.90 × 141,006
  4. Step 4: Simplify right side
    254,183.16x = 49,461,083,537.40
  5. Step 5: Solve for x
    x = 49,461,083,537.40/254,183.16
  6. Step 6: Final answer
    x = 194,588.36

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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.