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Finding the Fourth Proportional to 216,125.54, 324,187.97 and 120,123.80

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Solution

The fourth proportional to 216,125.54, 324,187.97 and 120,123.80 is: 180,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,125.54 : 324,187.97 = 120,123.80 : x
  2. Step 2: Convert to fraction form
    216,125.54/324,187.97 = 120,123.80/x
  3. Step 3: Cross multiply
    216,125.54x = 324,187.97 × 120,123.80
  4. Step 4: Simplify right side
    216,125.54x = 38,942,688,649.13
  5. Step 5: Solve for x
    x = 38,942,688,649.13/216,125.54
  6. Step 6: Final answer
    x = 180,185.50

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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.