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Finding the Fourth Proportional to 209,957.84, 289,741.92 and 114,462.56

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Solution

The fourth proportional to 209,957.84, 289,741.92 and 114,462.56 is: 157,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957.84 : 289,741.92 = 114,462.56 : x
  2. Step 2: Convert to fraction form
    209,957.84/289,741.92 = 114,462.56/x
  3. Step 3: Cross multiply
    209,957.84x = 289,741.92 × 114,462.56
  4. Step 4: Simplify right side
    209,957.84x = 33,164,601,902.52
  5. Step 5: Solve for x
    x = 33,164,601,902.52/209,957.84
  6. Step 6: Final answer
    x = 157,958.39

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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.