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Finding the Fourth Proportional to 208,574.46, 312,954.71 and 96,194.25

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Solution

The fourth proportional to 208,574.46, 312,954.71 and 96,194.25 is: 144,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,574.46 : 312,954.71 = 96,194.25 : x
  2. Step 2: Convert to fraction form
    208,574.46/312,954.71 = 96,194.25/x
  3. Step 3: Cross multiply
    208,574.46x = 312,954.71 × 96,194.25
  4. Step 4: Simplify right side
    208,574.46x = 30,104,443,131.45
  5. Step 5: Solve for x
    x = 30,104,443,131.45/208,574.46
  6. Step 6: Final answer
    x = 144,334.27

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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.