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Finding the Fourth Proportional to 332,133.63, 458,341.97 and 188,893.50

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Solution

The fourth proportional to 332,133.63, 458,341.97 and 188,893.50 is: 260,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,133.63 : 458,341.97 = 188,893.50 : x
  2. Step 2: Convert to fraction form
    332,133.63/458,341.97 = 188,893.50/x
  3. Step 3: Cross multiply
    332,133.63x = 458,341.97 × 188,893.50
  4. Step 4: Simplify right side
    332,133.63x = 86,577,818,910.20
  5. Step 5: Solve for x
    x = 86,577,818,910.20/332,133.63
  6. Step 6: Final answer
    x = 260,671.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.