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Finding the Fourth Proportional to 201,074.83, 277,490.66 and 120,486.73

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Solution

The fourth proportional to 201,074.83, 277,490.66 and 120,486.73 is: 166,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,074.83 : 277,490.66 = 120,486.73 : x
  2. Step 2: Convert to fraction form
    201,074.83/277,490.66 = 120,486.73/x
  3. Step 3: Cross multiply
    201,074.83x = 277,490.66 × 120,486.73
  4. Step 4: Simplify right side
    201,074.83x = 33,433,941,740.59
  5. Step 5: Solve for x
    x = 33,433,941,740.59/201,074.83
  6. Step 6: Final answer
    x = 166,276.12

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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.