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Finding the Fourth Proportional to 200,956.37, 277,318.70 and 110,313.88

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Solution

The fourth proportional to 200,956.37, 277,318.70 and 110,313.88 is: 152,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,956.37 : 277,318.70 = 110,313.88 : x
  2. Step 2: Convert to fraction form
    200,956.37/277,318.70 = 110,313.88/x
  3. Step 3: Cross multiply
    200,956.37x = 277,318.70 × 110,313.88
  4. Step 4: Simplify right side
    200,956.37x = 30,592,100,457.12
  5. Step 5: Solve for x
    x = 30,592,100,457.12/200,956.37
  6. Step 6: Final answer
    x = 152,232.55

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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.