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Finding the Fourth Proportional to 216,009.70, 324,403.35 and 156,912.10

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Solution

The fourth proportional to 216,009.70, 324,403.35 and 156,912.10 is: 235,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,009.70 : 324,403.35 = 156,912.10 : x
  2. Step 2: Convert to fraction form
    216,009.70/324,403.35 = 156,912.10/x
  3. Step 3: Cross multiply
    216,009.70x = 324,403.35 × 156,912.10
  4. Step 4: Simplify right side
    216,009.70x = 50,902,810,895.54
  5. Step 5: Solve for x
    x = 50,902,810,895.54/216,009.70
  6. Step 6: Final answer
    x = 235,650.58

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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.