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Finding the Fourth Proportional to 281,951.54, 423,014.96 and 92,413.56

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Solution

The fourth proportional to 281,951.54, 423,014.96 and 92,413.56 is: 138,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,951.54 : 423,014.96 = 92,413.56 : x
  2. Step 2: Convert to fraction form
    281,951.54/423,014.96 = 92,413.56/x
  3. Step 3: Cross multiply
    281,951.54x = 423,014.96 × 92,413.56
  4. Step 4: Simplify right side
    281,951.54x = 39,092,318,386.86
  5. Step 5: Solve for x
    x = 39,092,318,386.86/281,951.54
  6. Step 6: Final answer
    x = 138,649.07

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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.