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Finding the Fourth Proportional to 149,670.70, 224,457.45 and 49,813.90

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Solution

The fourth proportional to 149,670.70, 224,457.45 and 49,813.90 is: 74,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,670.70 : 224,457.45 = 49,813.90 : x
  2. Step 2: Convert to fraction form
    149,670.70/224,457.45 = 49,813.90/x
  3. Step 3: Cross multiply
    149,670.70x = 224,457.45 × 49,813.90
  4. Step 4: Simplify right side
    149,670.70x = 11,181,100,968.56
  5. Step 5: Solve for x
    x = 11,181,100,968.56/149,670.70
  6. Step 6: Final answer
    x = 74,704.67

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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.