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Finding the Fourth Proportional to 206,952.67, 310,428.24 and 57,192.67

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Solution

The fourth proportional to 206,952.67, 310,428.24 and 57,192.67 is: 85,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.67 : 310,428.24 = 57,192.67 : x
  2. Step 2: Convert to fraction form
    206,952.67/310,428.24 = 57,192.67/x
  3. Step 3: Cross multiply
    206,952.67x = 310,428.24 × 57,192.67
  4. Step 4: Simplify right side
    206,952.67x = 17,754,219,889.00
  5. Step 5: Solve for x
    x = 17,754,219,889.00/206,952.67
  6. Step 6: Final answer
    x = 85,788.79

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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.