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Finding the Fourth Proportional to 311,022.02, 466,607.06 and 100,659.96

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Solution

The fourth proportional to 311,022.02, 466,607.06 and 100,659.96 is: 151,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,022.02 : 466,607.06 = 100,659.96 : x
  2. Step 2: Convert to fraction form
    311,022.02/466,607.06 = 100,659.96/x
  3. Step 3: Cross multiply
    311,022.02x = 466,607.06 × 100,659.96
  4. Step 4: Simplify right side
    311,022.02x = 46,968,645,913.93
  5. Step 5: Solve for x
    x = 46,968,645,913.93/311,022.02
  6. Step 6: Final answer
    x = 151,013.89

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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.