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Finding the Fourth Proportional to 146,020.60, 218,909.40 and 61,845.40

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Solution

The fourth proportional to 146,020.60, 218,909.40 and 61,845.40 is: 92,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,020.60 : 218,909.40 = 61,845.40 : x
  2. Step 2: Convert to fraction form
    146,020.60/218,909.40 = 61,845.40/x
  3. Step 3: Cross multiply
    146,020.60x = 218,909.40 × 61,845.40
  4. Step 4: Simplify right side
    146,020.60x = 13,538,539,406.76
  5. Step 5: Solve for x
    x = 13,538,539,406.76/146,020.60
  6. Step 6: Final answer
    x = 92,716.64

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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.