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Finding the Fourth Proportional to 235,231.84, 352,847.22 and 102,094.84

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Solution

The fourth proportional to 235,231.84, 352,847.22 and 102,094.84 is: 153,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,231.84 : 352,847.22 = 102,094.84 : x
  2. Step 2: Convert to fraction form
    235,231.84/352,847.22 = 102,094.84/x
  3. Step 3: Cross multiply
    235,231.84x = 352,847.22 × 102,094.84
  4. Step 4: Simplify right side
    235,231.84x = 36,023,880,470.34
  5. Step 5: Solve for x
    x = 36,023,880,470.34/235,231.84
  6. Step 6: Final answer
    x = 153,142.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.