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Finding the Fourth Proportional to 149,951.70, 224,931.60 and 65,668.50

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Solution

The fourth proportional to 149,951.70, 224,931.60 and 65,668.50 is: 98,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,951.70 : 224,931.60 = 65,668.50 : x
  2. Step 2: Convert to fraction form
    149,951.70/224,931.60 = 65,668.50/x
  3. Step 3: Cross multiply
    149,951.70x = 224,931.60 × 65,668.50
  4. Step 4: Simplify right side
    149,951.70x = 14,770,920,774.60
  5. Step 5: Solve for x
    x = 14,770,920,774.60/149,951.70
  6. Step 6: Final answer
    x = 98,504.52

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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.