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Finding the Fourth Proportional to 209,872.56, 289,615.68 and 114,377.20

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Solution

The fourth proportional to 209,872.56, 289,615.68 and 114,377.20 is: 157,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.56 : 289,615.68 = 114,377.20 : x
  2. Step 2: Convert to fraction form
    209,872.56/289,615.68 = 114,377.20/x
  3. Step 3: Cross multiply
    209,872.56x = 289,615.68 × 114,377.20
  4. Step 4: Simplify right side
    209,872.56x = 33,125,430,554.50
  5. Step 5: Solve for x
    x = 33,125,430,554.50/209,872.56
  6. Step 6: Final answer
    x = 157,835.93

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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.