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Finding the Fourth Proportional to 305,852.80, 458,779.20 and 81,212.80

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Solution

The fourth proportional to 305,852.80, 458,779.20 and 81,212.80 is: 121,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,852.80 : 458,779.20 = 81,212.80 : x
  2. Step 2: Convert to fraction form
    305,852.80/458,779.20 = 81,212.80/x
  3. Step 3: Cross multiply
    305,852.80x = 458,779.20 × 81,212.80
  4. Step 4: Simplify right side
    305,852.80x = 37,258,743,413.76
  5. Step 5: Solve for x
    x = 37,258,743,413.76/305,852.80
  6. Step 6: Final answer
    x = 121,819.20

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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.