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Finding the Fourth Proportional to 209,843.34, 289,583.82 and 114,350.01

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Solution

The fourth proportional to 209,843.34, 289,583.82 and 114,350.01 is: 157,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,843.34 : 289,583.82 = 114,350.01 : x
  2. Step 2: Convert to fraction form
    209,843.34/289,583.82 = 114,350.01/x
  3. Step 3: Cross multiply
    209,843.34x = 289,583.82 × 114,350.01
  4. Step 4: Simplify right side
    209,843.34x = 33,113,912,712.84
  5. Step 5: Solve for x
    x = 33,113,912,712.84/209,843.34
  6. Step 6: Final answer
    x = 157,803.02

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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.