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Finding the Fourth Proportional to 209,712.96, 314,347.88 and 150,516.54

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Solution

The fourth proportional to 209,712.96, 314,347.88 and 150,516.54 is: 225,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712.96 : 314,347.88 = 150,516.54 : x
  2. Step 2: Convert to fraction form
    209,712.96/314,347.88 = 150,516.54/x
  3. Step 3: Cross multiply
    209,712.96x = 314,347.88 × 150,516.54
  4. Step 4: Simplify right side
    209,712.96x = 47,314,555,253.94
  5. Step 5: Solve for x
    x = 47,314,555,253.94/209,712.96
  6. Step 6: Final answer
    x = 225,615.79

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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.