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Finding the Fourth Proportional to 149,491.41, 224,237.92 and 38,683.41

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Solution

The fourth proportional to 149,491.41, 224,237.92 and 38,683.41 is: 58,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,491.41 : 224,237.92 = 38,683.41 : x
  2. Step 2: Convert to fraction form
    149,491.41/224,237.92 = 38,683.41/x
  3. Step 3: Cross multiply
    149,491.41x = 224,237.92 × 38,683.41
  4. Step 4: Simplify right side
    149,491.41x = 8,674,286,531.84
  5. Step 5: Solve for x
    x = 8,674,286,531.84/149,491.41
  6. Step 6: Final answer
    x = 58,025.32

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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.