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Finding the Fourth Proportional to 149,403.74, 224,105.14 and 46,828.88

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Solution

The fourth proportional to 149,403.74, 224,105.14 and 46,828.88 is: 70,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,403.74 : 224,105.14 = 46,828.88 : x
  2. Step 2: Convert to fraction form
    149,403.74/224,105.14 = 46,828.88/x
  3. Step 3: Cross multiply
    149,403.74x = 224,105.14 × 46,828.88
  4. Step 4: Simplify right side
    149,403.74x = 10,494,591,470.85
  5. Step 5: Solve for x
    x = 10,494,591,470.85/149,403.74
  6. Step 6: Final answer
    x = 70,243.17

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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.