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Finding the Fourth Proportional to 200,991.40, 277,366.96 and 110,348.88

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Solution

The fourth proportional to 200,991.40, 277,366.96 and 110,348.88 is: 152,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,991.40 : 277,366.96 = 110,348.88 : x
  2. Step 2: Convert to fraction form
    200,991.40/277,366.96 = 110,348.88/x
  3. Step 3: Cross multiply
    200,991.40x = 277,366.96 × 110,348.88
  4. Step 4: Simplify right side
    200,991.40x = 30,607,133,385.00
  5. Step 5: Solve for x
    x = 30,607,133,385.00/200,991.40
  6. Step 6: Final answer
    x = 152,280.81

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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.