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Finding the Fourth Proportional to 117,309, 175,992.84 and 34,203

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Solution

The fourth proportional to 117,309, 175,992.84 and 34,203 is: 51,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,309 : 175,992.84 = 34,203 : x
  2. Step 2: Convert to fraction form
    117,309/175,992.84 = 34,203/x
  3. Step 3: Cross multiply
    117,309x = 175,992.84 × 34,203
  4. Step 4: Simplify right side
    117,309x = 6,019,483,106.52
  5. Step 5: Solve for x
    x = 6,019,483,106.52/117,309
  6. Step 6: Final answer
    x = 51,313.05

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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.