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Finding the Fourth Proportional to 146,054.80, 218,920.20 and 57,278.80

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Solution

The fourth proportional to 146,054.80, 218,920.20 and 57,278.80 is: 85,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,054.80 : 218,920.20 = 57,278.80 : x
  2. Step 2: Convert to fraction form
    146,054.80/218,920.20 = 57,278.80/x
  3. Step 3: Cross multiply
    146,054.80x = 218,920.20 × 57,278.80
  4. Step 4: Simplify right side
    146,054.80x = 12,539,486,351.76
  5. Step 5: Solve for x
    x = 12,539,486,351.76/146,054.80
  6. Step 6: Final answer
    x = 85,854.67

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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.