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Finding the Fourth Proportional to 654,737.46, 982,103.49 and 181,421.46

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Solution

The fourth proportional to 654,737.46, 982,103.49 and 181,421.46 is: 272,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,737.46 : 982,103.49 = 181,421.46 : x
  2. Step 2: Convert to fraction form
    654,737.46/982,103.49 = 181,421.46/x
  3. Step 3: Cross multiply
    654,737.46x = 982,103.49 × 181,421.46
  4. Step 4: Simplify right side
    654,737.46x = 178,174,649,026.90
  5. Step 5: Solve for x
    x = 178,174,649,026.90/654,737.46
  6. Step 6: Final answer
    x = 272,131.44

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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.