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Finding the Fourth Proportional to 201,301.41, 277,799.40 and 110,661.20

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Solution

The fourth proportional to 201,301.41, 277,799.40 and 110,661.20 is: 152,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.41 : 277,799.40 = 110,661.20 : x
  2. Step 2: Convert to fraction form
    201,301.41/277,799.40 = 110,661.20/x
  3. Step 3: Cross multiply
    201,301.41x = 277,799.40 × 110,661.20
  4. Step 4: Simplify right side
    201,301.41x = 30,741,614,963.28
  5. Step 5: Solve for x
    x = 30,741,614,963.28/201,301.41
  6. Step 6: Final answer
    x = 152,714.35

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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.