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Finding the Fourth Proportional to 225,977.89, 338,838.37 and 174,668.40

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Solution

The fourth proportional to 225,977.89, 338,838.37 and 174,668.40 is: 261,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,977.89 : 338,838.37 = 174,668.40 : x
  2. Step 2: Convert to fraction form
    225,977.89/338,838.37 = 174,668.40/x
  3. Step 3: Cross multiply
    225,977.89x = 338,838.37 × 174,668.40
  4. Step 4: Simplify right side
    225,977.89x = 59,184,355,946.51
  5. Step 5: Solve for x
    x = 59,184,355,946.51/225,977.89
  6. Step 6: Final answer
    x = 261,903.30

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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.