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Finding the Fourth Proportional to 192,586.16, 288,820.38 and 67,898

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Solution

The fourth proportional to 192,586.16, 288,820.38 and 67,898 is: 101,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,586.16 : 288,820.38 = 67,898 : x
  2. Step 2: Convert to fraction form
    192,586.16/288,820.38 = 67,898/x
  3. Step 3: Cross multiply
    192,586.16x = 288,820.38 × 67,898
  4. Step 4: Simplify right side
    192,586.16x = 19,610,326,161.24
  5. Step 5: Solve for x
    x = 19,610,326,161.24/192,586.16
  6. Step 6: Final answer
    x = 101,826.25

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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.