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Finding the Fourth Proportional to 274,422.48, 411,636.80 and 96,804.94

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Solution

The fourth proportional to 274,422.48, 411,636.80 and 96,804.94 is: 145,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,422.48 : 411,636.80 = 96,804.94 : x
  2. Step 2: Convert to fraction form
    274,422.48/411,636.80 = 96,804.94/x
  3. Step 3: Cross multiply
    274,422.48x = 411,636.80 × 96,804.94
  4. Step 4: Simplify right side
    274,422.48x = 39,848,473,565.54
  5. Step 5: Solve for x
    x = 39,848,473,565.54/274,422.48
  6. Step 6: Final answer
    x = 145,208.49

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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.