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Finding the Fourth Proportional to 207,617.95, 311,427.14 and 57,858.67

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Solution

The fourth proportional to 207,617.95, 311,427.14 and 57,858.67 is: 86,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,617.95 : 311,427.14 = 57,858.67 : x
  2. Step 2: Convert to fraction form
    207,617.95/311,427.14 = 57,858.67/x
  3. Step 3: Cross multiply
    207,617.95x = 311,427.14 × 57,858.67
  4. Step 4: Simplify right side
    207,617.95x = 18,018,760,122.30
  5. Step 5: Solve for x
    x = 18,018,760,122.30/207,617.95
  6. Step 6: Final answer
    x = 86,788.06

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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.