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Finding the Fourth Proportional to 207,993.34, 312,028.89 and 83,344.06

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Solution

The fourth proportional to 207,993.34, 312,028.89 and 83,344.06 is: 125,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,993.34 : 312,028.89 = 83,344.06 : x
  2. Step 2: Convert to fraction form
    207,993.34/312,028.89 = 83,344.06/x
  3. Step 3: Cross multiply
    207,993.34x = 312,028.89 × 83,344.06
  4. Step 4: Simplify right side
    207,993.34x = 26,005,754,529.89
  5. Step 5: Solve for x
    x = 26,005,754,529.89/207,993.34
  6. Step 6: Final answer
    x = 125,031.67

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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.