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Finding the Fourth Proportional to 200,837.12, 277,178.88 and 111,418.88

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Solution

The fourth proportional to 200,837.12, 277,178.88 and 111,418.88 is: 153,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,837.12 : 277,178.88 = 111,418.88 : x
  2. Step 2: Convert to fraction form
    200,837.12/277,178.88 = 111,418.88/x
  3. Step 3: Cross multiply
    200,837.12x = 277,178.88 × 111,418.88
  4. Step 4: Simplify right side
    200,837.12x = 30,882,960,369.25
  5. Step 5: Solve for x
    x = 30,882,960,369.25/200,837.12
  6. Step 6: Final answer
    x = 153,771.18

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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.