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Finding the Fourth Proportional to 216,362.81, 324,581.12 and 96,463.27

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Solution

The fourth proportional to 216,362.81, 324,581.12 and 96,463.27 is: 144,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,362.81 : 324,581.12 = 96,463.27 : x
  2. Step 2: Convert to fraction form
    216,362.81/324,581.12 = 96,463.27/x
  3. Step 3: Cross multiply
    216,362.81x = 324,581.12 × 96,463.27
  4. Step 4: Simplify right side
    216,362.81x = 31,310,156,215.46
  5. Step 5: Solve for x
    x = 31,310,156,215.46/216,362.81
  6. Step 6: Final answer
    x = 144,711.36

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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.