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Finding the Fourth Proportional to 149,611.06, 224,290.94 and 65,307.08

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Solution

The fourth proportional to 149,611.06, 224,290.94 and 65,307.08 is: 97,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,611.06 : 224,290.94 = 65,307.08 : x
  2. Step 2: Convert to fraction form
    149,611.06/224,290.94 = 65,307.08/x
  3. Step 3: Cross multiply
    149,611.06x = 224,290.94 × 65,307.08
  4. Step 4: Simplify right side
    149,611.06x = 14,647,786,361.86
  5. Step 5: Solve for x
    x = 14,647,786,361.86/149,611.06
  6. Step 6: Final answer
    x = 97,905.77

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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.