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Finding the Fourth Proportional to 283,413.60, 425,108.10 and 105,922.14

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Solution

The fourth proportional to 283,413.60, 425,108.10 and 105,922.14 is: 158,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,413.60 : 425,108.10 = 105,922.14 : x
  2. Step 2: Convert to fraction form
    283,413.60/425,108.10 = 105,922.14/x
  3. Step 3: Cross multiply
    283,413.60x = 425,108.10 × 105,922.14
  4. Step 4: Simplify right side
    283,413.60x = 45,028,359,683.33
  5. Step 5: Solve for x
    x = 45,028,359,683.33/283,413.60
  6. Step 6: Final answer
    x = 158,878.61

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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.