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Finding the Fourth Proportional to 201,282.60, 277,780.68 and 120,713.52

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Solution

The fourth proportional to 201,282.60, 277,780.68 and 120,713.52 is: 166,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282.60 : 277,780.68 = 120,713.52 : x
  2. Step 2: Convert to fraction form
    201,282.60/277,780.68 = 120,713.52/x
  3. Step 3: Cross multiply
    201,282.60x = 277,780.68 × 120,713.52
  4. Step 4: Simplify right side
    201,282.60x = 33,531,883,670.79
  5. Step 5: Solve for x
    x = 33,531,883,670.79/201,282.60
  6. Step 6: Final answer
    x = 166,591.07

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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.