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Finding the Fourth Proportional to 133,852.88, 200,780.54 and 43,894.28

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Solution

The fourth proportional to 133,852.88, 200,780.54 and 43,894.28 is: 65,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.88 : 200,780.54 = 43,894.28 : x
  2. Step 2: Convert to fraction form
    133,852.88/200,780.54 = 43,894.28/x
  3. Step 3: Cross multiply
    133,852.88x = 200,780.54 × 43,894.28
  4. Step 4: Simplify right side
    133,852.88x = 8,813,117,241.31
  5. Step 5: Solve for x
    x = 8,813,117,241.31/133,852.88
  6. Step 6: Final answer
    x = 65,841.82

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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.