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Finding the Fourth Proportional to 200,888, 277,234.08 and 111,464

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Solution

The fourth proportional to 200,888, 277,234.08 and 111,464 is: 153,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888 : 277,234.08 = 111,464 : x
  2. Step 2: Convert to fraction form
    200,888/277,234.08 = 111,464/x
  3. Step 3: Cross multiply
    200,888x = 277,234.08 × 111,464
  4. Step 4: Simplify right side
    200,888x = 30,901,619,493.12
  5. Step 5: Solve for x
    x = 30,901,619,493.12/200,888
  6. Step 6: Final answer
    x = 153,825.11

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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.