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Finding the Fourth Proportional to 149,906.08, 224,835.90 and 65,647.72

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Solution

The fourth proportional to 149,906.08, 224,835.90 and 65,647.72 is: 98,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,906.08 : 224,835.90 = 65,647.72 : x
  2. Step 2: Convert to fraction form
    149,906.08/224,835.90 = 65,647.72/x
  3. Step 3: Cross multiply
    149,906.08x = 224,835.90 × 65,647.72
  4. Step 4: Simplify right side
    149,906.08x = 14,759,964,209.15
  5. Step 5: Solve for x
    x = 14,759,964,209.15/149,906.08
  6. Step 6: Final answer
    x = 98,461.41

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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.