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Finding the Fourth Proportional to 164,603.43, 227,145.24 and 103,381.23

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Solution

The fourth proportional to 164,603.43, 227,145.24 and 103,381.23 is: 142,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,603.43 : 227,145.24 = 103,381.23 : x
  2. Step 2: Convert to fraction form
    164,603.43/227,145.24 = 103,381.23/x
  3. Step 3: Cross multiply
    164,603.43x = 227,145.24 × 103,381.23
  4. Step 4: Simplify right side
    164,603.43x = 23,482,554,299.85
  5. Step 5: Solve for x
    x = 23,482,554,299.85/164,603.43
  6. Step 6: Final answer
    x = 142,661.39

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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.