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Finding the Fourth Proportional to 221,214.34, 305,301.71 and 125,735.39

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Solution

The fourth proportional to 221,214.34, 305,301.71 and 125,735.39 is: 173,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,214.34 : 305,301.71 = 125,735.39 : x
  2. Step 2: Convert to fraction form
    221,214.34/305,301.71 = 125,735.39/x
  3. Step 3: Cross multiply
    221,214.34x = 305,301.71 × 125,735.39
  4. Step 4: Simplify right side
    221,214.34x = 38,387,228,799.97
  5. Step 5: Solve for x
    x = 38,387,228,799.97/221,214.34
  6. Step 6: Final answer
    x = 173,529.57

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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.