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Finding the Fourth Proportional to 216,040.80, 323,672.40 and 176,383.20

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Solution

The fourth proportional to 216,040.80, 323,672.40 and 176,383.20 is: 264,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,040.80 : 323,672.40 = 176,383.20 : x
  2. Step 2: Convert to fraction form
    216,040.80/323,672.40 = 176,383.20/x
  3. Step 3: Cross multiply
    216,040.80x = 323,672.40 × 176,383.20
  4. Step 4: Simplify right side
    216,040.80x = 57,090,373,663.68
  5. Step 5: Solve for x
    x = 57,090,373,663.68/216,040.80
  6. Step 6: Final answer
    x = 264,257.37

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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.