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Finding the Fourth Proportional to 201,304.88, 277,804.24 and 110,664.66

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Solution

The fourth proportional to 201,304.88, 277,804.24 and 110,664.66 is: 152,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,304.88 : 277,804.24 = 110,664.66 : x
  2. Step 2: Convert to fraction form
    201,304.88/277,804.24 = 110,664.66/x
  3. Step 3: Cross multiply
    201,304.88x = 277,804.24 × 110,664.66
  4. Step 4: Simplify right side
    201,304.88x = 30,743,111,766.16
  5. Step 5: Solve for x
    x = 30,743,111,766.16/201,304.88
  6. Step 6: Final answer
    x = 152,719.16

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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.