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Finding the Fourth Proportional to 104,413.40, 156,360.90 and 83,677.40

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Solution

The fourth proportional to 104,413.40, 156,360.90 and 83,677.40 is: 125,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,413.40 : 156,360.90 = 83,677.40 : x
  2. Step 2: Convert to fraction form
    104,413.40/156,360.90 = 83,677.40/x
  3. Step 3: Cross multiply
    104,413.40x = 156,360.90 × 83,677.40
  4. Step 4: Simplify right side
    104,413.40x = 13,083,873,573.66
  5. Step 5: Solve for x
    x = 13,083,873,573.66/104,413.40
  6. Step 6: Final answer
    x = 125,308.38

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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.