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Finding the Fourth Proportional to 149,834.40, 224,751.60 and 90,639.60

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Solution

The fourth proportional to 149,834.40, 224,751.60 and 90,639.60 is: 135,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,834.40 : 224,751.60 = 90,639.60 : x
  2. Step 2: Convert to fraction form
    149,834.40/224,751.60 = 90,639.60/x
  3. Step 3: Cross multiply
    149,834.40x = 224,751.60 × 90,639.60
  4. Step 4: Simplify right side
    149,834.40x = 20,371,395,123.36
  5. Step 5: Solve for x
    x = 20,371,395,123.36/149,834.40
  6. Step 6: Final answer
    x = 135,959.40

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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.