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Finding the Fourth Proportional to 145,778.40, 218,592 and 66,824.64

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Solution

The fourth proportional to 145,778.40, 218,592 and 66,824.64 is: 100,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,778.40 : 218,592 = 66,824.64 : x
  2. Step 2: Convert to fraction form
    145,778.40/218,592 = 66,824.64/x
  3. Step 3: Cross multiply
    145,778.40x = 218,592 × 66,824.64
  4. Step 4: Simplify right side
    145,778.40x = 14,607,331,706.88
  5. Step 5: Solve for x
    x = 14,607,331,706.88/145,778.40
  6. Step 6: Final answer
    x = 100,202.31

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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.