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Finding the Fourth Proportional to 145,245.40, 217,824.90 and 56,447.80

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Solution

The fourth proportional to 145,245.40, 217,824.90 and 56,447.80 is: 84,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,245.40 : 217,824.90 = 56,447.80 : x
  2. Step 2: Convert to fraction form
    145,245.40/217,824.90 = 56,447.80/x
  3. Step 3: Cross multiply
    145,245.40x = 217,824.90 × 56,447.80
  4. Step 4: Simplify right side
    145,245.40x = 12,295,736,390.22
  5. Step 5: Solve for x
    x = 12,295,736,390.22/145,245.40
  6. Step 6: Final answer
    x = 84,654.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.