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Finding the Fourth Proportional to 200,851.74, 277,185.42 and 114,815.16

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Solution

The fourth proportional to 200,851.74, 277,185.42 and 114,815.16 is: 158,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,851.74 : 277,185.42 = 114,815.16 : x
  2. Step 2: Convert to fraction form
    200,851.74/277,185.42 = 114,815.16/x
  3. Step 3: Cross multiply
    200,851.74x = 277,185.42 × 114,815.16
  4. Step 4: Simplify right side
    200,851.74x = 31,825,088,346.97
  5. Step 5: Solve for x
    x = 31,825,088,346.97/200,851.74
  6. Step 6: Final answer
    x = 158,450.65

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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.