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Finding the Fourth Proportional to 299,093.40, 448,719.30 and 130,541.40

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Solution

The fourth proportional to 299,093.40, 448,719.30 and 130,541.40 is: 195,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,093.40 : 448,719.30 = 130,541.40 : x
  2. Step 2: Convert to fraction form
    299,093.40/448,719.30 = 130,541.40/x
  3. Step 3: Cross multiply
    299,093.40x = 448,719.30 × 130,541.40
  4. Step 4: Simplify right side
    299,093.40x = 58,576,445,629.02
  5. Step 5: Solve for x
    x = 58,576,445,629.02/299,093.40
  6. Step 6: Final answer
    x = 195,846.67

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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.