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Finding the Fourth Proportional to 321,795.73, 482,771.63 and 97,142.74

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Solution

The fourth proportional to 321,795.73, 482,771.63 and 97,142.74 is: 145,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,795.73 : 482,771.63 = 97,142.74 : x
  2. Step 2: Convert to fraction form
    321,795.73/482,771.63 = 97,142.74/x
  3. Step 3: Cross multiply
    321,795.73x = 482,771.63 × 97,142.74
  4. Step 4: Simplify right side
    321,795.73x = 46,897,758,932.47
  5. Step 5: Solve for x
    x = 46,897,758,932.47/321,795.73
  6. Step 6: Final answer
    x = 145,737.67

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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.