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Finding the Fourth Proportional to 208,846.76, 288,208.78 and 113,353.48

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Solution

The fourth proportional to 208,846.76, 288,208.78 and 113,353.48 is: 156,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,846.76 : 288,208.78 = 113,353.48 : x
  2. Step 2: Convert to fraction form
    208,846.76/288,208.78 = 113,353.48/x
  3. Step 3: Cross multiply
    208,846.76x = 288,208.78 × 113,353.48
  4. Step 4: Simplify right side
    208,846.76x = 32,669,467,272.87
  5. Step 5: Solve for x
    x = 32,669,467,272.87/208,846.76
  6. Step 6: Final answer
    x = 156,427.94

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1.5x scale

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.