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Finding the Fourth Proportional to 159,324.96, 219,745.64 and 98,931.36

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Solution

The fourth proportional to 159,324.96, 219,745.64 and 98,931.36 is: 136,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,324.96 : 219,745.64 = 98,931.36 : x
  2. Step 2: Convert to fraction form
    159,324.96/219,745.64 = 98,931.36/x
  3. Step 3: Cross multiply
    159,324.96x = 219,745.64 × 98,931.36
  4. Step 4: Simplify right side
    159,324.96x = 21,739,735,019.27
  5. Step 5: Solve for x
    x = 21,739,735,019.27/159,324.96
  6. Step 6: Final answer
    x = 136,449.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.