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Finding the Fourth Proportional to 225,004.50, 337,340.16 and 136,237.14

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Solution

The fourth proportional to 225,004.50, 337,340.16 and 136,237.14 is: 204,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,004.50 : 337,340.16 = 136,237.14 : x
  2. Step 2: Convert to fraction form
    225,004.50/337,340.16 = 136,237.14/x
  3. Step 3: Cross multiply
    225,004.50x = 337,340.16 × 136,237.14
  4. Step 4: Simplify right side
    225,004.50x = 45,958,258,605.54
  5. Step 5: Solve for x
    x = 45,958,258,605.54/225,004.50
  6. Step 6: Final answer
    x = 204,254.84

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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.