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Finding the Fourth Proportional to 201,033.14, 277,392.83 and 114,978.25

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Solution

The fourth proportional to 201,033.14, 277,392.83 and 114,978.25 is: 158,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,033.14 : 277,392.83 = 114,978.25 : x
  2. Step 2: Convert to fraction form
    201,033.14/277,392.83 = 114,978.25/x
  3. Step 3: Cross multiply
    201,033.14x = 277,392.83 × 114,978.25
  4. Step 4: Simplify right side
    201,033.14x = 31,894,140,887.57
  5. Step 5: Solve for x
    x = 31,894,140,887.57/201,033.14
  6. Step 6: Final answer
    x = 158,651.16

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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.