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Finding the Fourth Proportional to 311,962.08, 467,982 and 101,543.52

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Solution

The fourth proportional to 311,962.08, 467,982 and 101,543.52 is: 152,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962.08 : 467,982 = 101,543.52 : x
  2. Step 2: Convert to fraction form
    311,962.08/467,982 = 101,543.52/x
  3. Step 3: Cross multiply
    311,962.08x = 467,982 × 101,543.52
  4. Step 4: Simplify right side
    311,962.08x = 47,520,539,576.64
  5. Step 5: Solve for x
    x = 47,520,539,576.64/311,962.08
  6. Step 6: Final answer
    x = 152,327.94

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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.