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Finding the Fourth Proportional to 159,113.49, 219,522 and 98,662.38

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Solution

The fourth proportional to 159,113.49, 219,522 and 98,662.38 is: 136,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,113.49 : 219,522 = 98,662.38 : x
  2. Step 2: Convert to fraction form
    159,113.49/219,522 = 98,662.38/x
  3. Step 3: Cross multiply
    159,113.49x = 219,522 × 98,662.38
  4. Step 4: Simplify right side
    159,113.49x = 21,658,562,982.36
  5. Step 5: Solve for x
    x = 21,658,562,982.36/159,113.49
  6. Step 6: Final answer
    x = 136,120.22

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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.