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Finding the Fourth Proportional to 311,325.02, 467,053.16 and 100,946.56

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Solution

The fourth proportional to 311,325.02, 467,053.16 and 100,946.56 is: 151,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,325.02 : 467,053.16 = 100,946.56 : x
  2. Step 2: Convert to fraction form
    311,325.02/467,053.16 = 100,946.56/x
  3. Step 3: Cross multiply
    311,325.02x = 467,053.16 × 100,946.56
  4. Step 4: Simplify right side
    311,325.02x = 47,147,409,839.13
  5. Step 5: Solve for x
    x = 47,147,409,839.13/311,325.02
  6. Step 6: Final answer
    x = 151,441.12

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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.