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Finding the Fourth Proportional to 200,892.06, 277,230.06 and 110,245.50

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Solution

The fourth proportional to 200,892.06, 277,230.06 and 110,245.50 is: 152,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,892.06 : 277,230.06 = 110,245.50 : x
  2. Step 2: Convert to fraction form
    200,892.06/277,230.06 = 110,245.50/x
  3. Step 3: Cross multiply
    200,892.06x = 277,230.06 × 110,245.50
  4. Step 4: Simplify right side
    200,892.06x = 30,563,366,579.73
  5. Step 5: Solve for x
    x = 30,563,366,579.73/200,892.06
  6. Step 6: Final answer
    x = 152,138.25

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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.