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Finding the Fourth Proportional to 200,960.27, 277,347.24 and 114,927.25

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Solution

The fourth proportional to 200,960.27, 277,347.24 and 114,927.25 is: 158,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,960.27 : 277,347.24 = 114,927.25 : x
  2. Step 2: Convert to fraction form
    200,960.27/277,347.24 = 114,927.25/x
  3. Step 3: Cross multiply
    200,960.27x = 277,347.24 × 114,927.25
  4. Step 4: Simplify right side
    200,960.27x = 31,874,755,588.29
  5. Step 5: Solve for x
    x = 31,874,755,588.29/200,960.27
  6. Step 6: Final answer
    x = 158,612.23

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1.5x scale

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.