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Finding the Fourth Proportional to 200,996.85, 277,376.90 and 110,356.77

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Solution

The fourth proportional to 200,996.85, 277,376.90 and 110,356.77 is: 152,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,996.85 : 277,376.90 = 110,356.77 : x
  2. Step 2: Convert to fraction form
    200,996.85/277,376.90 = 110,356.77/x
  3. Step 3: Cross multiply
    200,996.85x = 277,376.90 × 110,356.77
  4. Step 4: Simplify right side
    200,996.85x = 30,610,418,204.83
  5. Step 5: Solve for x
    x = 30,610,418,204.83/200,996.85
  6. Step 6: Final answer
    x = 152,293.02

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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.