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Finding the Fourth Proportional to 201,491.49, 278,054.39 and 110,842.16

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Solution

The fourth proportional to 201,491.49, 278,054.39 and 110,842.16 is: 152,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,491.49 : 278,054.39 = 110,842.16 : x
  2. Step 2: Convert to fraction form
    201,491.49/278,054.39 = 110,842.16/x
  3. Step 3: Cross multiply
    201,491.49x = 278,054.39 × 110,842.16
  4. Step 4: Simplify right side
    201,491.49x = 30,820,150,157.32
  5. Step 5: Solve for x
    x = 30,820,150,157.32/201,491.49
  6. Step 6: Final answer
    x = 152,960.06

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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.