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Finding the Fourth Proportional to 149,563.30, 224,296.42 and 49,696.68

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Solution

The fourth proportional to 149,563.30, 224,296.42 and 49,696.68 is: 74,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.30 : 224,296.42 = 49,696.68 : x
  2. Step 2: Convert to fraction form
    149,563.30/224,296.42 = 49,696.68/x
  3. Step 3: Cross multiply
    149,563.30x = 224,296.42 × 49,696.68
  4. Step 4: Simplify right side
    149,563.30x = 11,146,787,409.89
  5. Step 5: Solve for x
    x = 11,146,787,409.89/149,563.30
  6. Step 6: Final answer
    x = 74,528.89

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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.