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Finding the Fourth Proportional to 208,574.21, 312,954.33 and 96,194

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Solution

The fourth proportional to 208,574.21, 312,954.33 and 96,194 is: 144,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,574.21 : 312,954.33 = 96,194 : x
  2. Step 2: Convert to fraction form
    208,574.21/312,954.33 = 96,194/x
  3. Step 3: Cross multiply
    208,574.21x = 312,954.33 × 96,194
  4. Step 4: Simplify right side
    208,574.21x = 30,104,328,820.02
  5. Step 5: Solve for x
    x = 30,104,328,820.02/208,574.21
  6. Step 6: Final answer
    x = 144,333.90

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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.