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Finding the Fourth Proportional to 252,467.40, 378,846.90 and 94,711.80

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Solution

The fourth proportional to 252,467.40, 378,846.90 and 94,711.80 is: 142,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,467.40 : 378,846.90 = 94,711.80 : x
  2. Step 2: Convert to fraction form
    252,467.40/378,846.90 = 94,711.80/x
  3. Step 3: Cross multiply
    252,467.40x = 378,846.90 × 94,711.80
  4. Step 4: Simplify right side
    252,467.40x = 35,881,271,823.42
  5. Step 5: Solve for x
    x = 35,881,271,823.42/252,467.40
  6. Step 6: Final answer
    x = 142,122.40

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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.