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Finding the Fourth Proportional to 201,318.42, 277,708.50 and 127,596

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Solution

The fourth proportional to 201,318.42, 277,708.50 and 127,596 is: 176,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,318.42 : 277,708.50 = 127,596 : x
  2. Step 2: Convert to fraction form
    201,318.42/277,708.50 = 127,596/x
  3. Step 3: Cross multiply
    201,318.42x = 277,708.50 × 127,596
  4. Step 4: Simplify right side
    201,318.42x = 35,434,493,766
  5. Step 5: Solve for x
    x = 35,434,493,766/201,318.42
  6. Step 6: Final answer
    x = 176,012.18

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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.