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Finding the Fourth Proportional to 159,199.19, 219,795.74 and 98,833.89

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Solution

The fourth proportional to 159,199.19, 219,795.74 and 98,833.89 is: 136,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,199.19 : 219,795.74 = 98,833.89 : x
  2. Step 2: Convert to fraction form
    159,199.19/219,795.74 = 98,833.89/x
  3. Step 3: Cross multiply
    159,199.19x = 219,795.74 × 98,833.89
  4. Step 4: Simplify right side
    159,199.19x = 21,723,269,246.26
  5. Step 5: Solve for x
    x = 21,723,269,246.26/159,199.19
  6. Step 6: Final answer
    x = 136,453.39

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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.