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Finding the Fourth Proportional to 208,846.62, 288,208.62 and 113,353.33

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Solution

The fourth proportional to 208,846.62, 288,208.62 and 113,353.33 is: 156,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,846.62 : 288,208.62 = 113,353.33 : x
  2. Step 2: Convert to fraction form
    208,846.62/288,208.62 = 113,353.33/x
  3. Step 3: Cross multiply
    208,846.62x = 288,208.62 × 113,353.33
  4. Step 4: Simplify right side
    208,846.62x = 32,669,406,091.18
  5. Step 5: Solve for x
    x = 32,669,406,091.18/208,846.62
  6. Step 6: Final answer
    x = 156,427.75

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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.