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Finding the Fourth Proportional to 201,034.71, 277,450.02 and 115,001.64

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Solution

The fourth proportional to 201,034.71, 277,450.02 and 115,001.64 is: 158,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,034.71 : 277,450.02 = 115,001.64 : x
  2. Step 2: Convert to fraction form
    201,034.71/277,450.02 = 115,001.64/x
  3. Step 3: Cross multiply
    201,034.71x = 277,450.02 × 115,001.64
  4. Step 4: Simplify right side
    201,034.71x = 31,907,207,318.03
  5. Step 5: Solve for x
    x = 31,907,207,318.03/201,034.71
  6. Step 6: Final answer
    x = 158,714.92

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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.