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Finding the Fourth Proportional to 117,203.21, 175,809.66 and 34,097.21

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Solution

The fourth proportional to 117,203.21, 175,809.66 and 34,097.21 is: 51,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,203.21 : 175,809.66 = 34,097.21 : x
  2. Step 2: Convert to fraction form
    117,203.21/175,809.66 = 34,097.21/x
  3. Step 3: Cross multiply
    117,203.21x = 175,809.66 × 34,097.21
  4. Step 4: Simplify right side
    117,203.21x = 5,994,618,018.00
  5. Step 5: Solve for x
    x = 5,994,618,018.00/117,203.21
  6. Step 6: Final answer
    x = 51,147.22

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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.