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Finding the Fourth Proportional to 149,884.60, 224,762.10 and 74,975.80

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Solution

The fourth proportional to 149,884.60, 224,762.10 and 74,975.80 is: 112,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,884.60 : 224,762.10 = 74,975.80 : x
  2. Step 2: Convert to fraction form
    149,884.60/224,762.10 = 74,975.80/x
  3. Step 3: Cross multiply
    149,884.60x = 224,762.10 × 74,975.80
  4. Step 4: Simplify right side
    149,884.60x = 16,851,718,257.18
  5. Step 5: Solve for x
    x = 16,851,718,257.18/149,884.60
  6. Step 6: Final answer
    x = 112,431.29

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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.