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Finding the Fourth Proportional to 149,807.68, 224,712.36 and 49,967.60

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Solution

The fourth proportional to 149,807.68, 224,712.36 and 49,967.60 is: 74,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,807.68 : 224,712.36 = 49,967.60 : x
  2. Step 2: Convert to fraction form
    149,807.68/224,712.36 = 49,967.60/x
  3. Step 3: Cross multiply
    149,807.68x = 224,712.36 × 49,967.60
  4. Step 4: Simplify right side
    149,807.68x = 11,228,336,195.97
  5. Step 5: Solve for x
    x = 11,228,336,195.97/149,807.68
  6. Step 6: Final answer
    x = 74,951.67

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1.5x scale

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.