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Finding the Fourth Proportional to 277,114.50, 382,418.01 and 201,726.18

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Solution

The fourth proportional to 277,114.50, 382,418.01 and 201,726.18 is: 278,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,114.50 : 382,418.01 = 201,726.18 : x
  2. Step 2: Convert to fraction form
    277,114.50/382,418.01 = 201,726.18/x
  3. Step 3: Cross multiply
    277,114.50x = 382,418.01 × 201,726.18
  4. Step 4: Simplify right side
    277,114.50x = 77,143,724,320.50
  5. Step 5: Solve for x
    x = 77,143,724,320.50/277,114.50
  6. Step 6: Final answer
    x = 278,382.13

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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.