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Finding the Fourth Proportional to 201,342.87, 277,853.72 and 110,708.10

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Solution

The fourth proportional to 201,342.87, 277,853.72 and 110,708.10 is: 152,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,342.87 : 277,853.72 = 110,708.10 : x
  2. Step 2: Convert to fraction form
    201,342.87/277,853.72 = 110,708.10/x
  3. Step 3: Cross multiply
    201,342.87x = 277,853.72 × 110,708.10
  4. Step 4: Simplify right side
    201,342.87x = 30,760,656,865.59
  5. Step 5: Solve for x
    x = 30,760,656,865.59/201,342.87
  6. Step 6: Final answer
    x = 152,777.48

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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.