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Finding the Fourth Proportional to 200,788.88, 277,092.35 and 110,149.47

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Solution

The fourth proportional to 200,788.88, 277,092.35 and 110,149.47 is: 152,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,788.88 : 277,092.35 = 110,149.47 : x
  2. Step 2: Convert to fraction form
    200,788.88/277,092.35 = 110,149.47/x
  3. Step 3: Cross multiply
    200,788.88x = 277,092.35 × 110,149.47
  4. Step 4: Simplify right side
    200,788.88x = 30,521,574,942.81
  5. Step 5: Solve for x
    x = 30,521,574,942.81/200,788.88
  6. Step 6: Final answer
    x = 152,008.30

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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.