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Finding the Fourth Proportional to 321,793.02, 482,767.55 and 97,140.02

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Solution

The fourth proportional to 321,793.02, 482,767.55 and 97,140.02 is: 145,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,793.02 : 482,767.55 = 97,140.02 : x
  2. Step 2: Convert to fraction form
    321,793.02/482,767.55 = 97,140.02/x
  3. Step 3: Cross multiply
    321,793.02x = 482,767.55 × 97,140.02
  4. Step 4: Simplify right side
    321,793.02x = 46,896,050,912.12
  5. Step 5: Solve for x
    x = 46,896,050,912.12/321,793.02
  6. Step 6: Final answer
    x = 145,733.59

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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.