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Finding the Fourth Proportional to 175,203, 262,809.36 and 50,544

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Solution

The fourth proportional to 175,203, 262,809.36 and 50,544 is: 75,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,203 : 262,809.36 = 50,544 : x
  2. Step 2: Convert to fraction form
    175,203/262,809.36 = 50,544/x
  3. Step 3: Cross multiply
    175,203x = 262,809.36 × 50,544
  4. Step 4: Simplify right side
    175,203x = 13,283,436,291.84
  5. Step 5: Solve for x
    x = 13,283,436,291.84/175,203
  6. Step 6: Final answer
    x = 75,817.40

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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.