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Finding the Fourth Proportional to 200,947.78, 277,311.07 and 110,312.02

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Solution

The fourth proportional to 200,947.78, 277,311.07 and 110,312.02 is: 152,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,947.78 : 277,311.07 = 110,312.02 : x
  2. Step 2: Convert to fraction form
    200,947.78/277,311.07 = 110,312.02/x
  3. Step 3: Cross multiply
    200,947.78x = 277,311.07 × 110,312.02
  4. Step 4: Simplify right side
    200,947.78x = 30,590,744,300.06
  5. Step 5: Solve for x
    x = 30,590,744,300.06/200,947.78
  6. Step 6: Final answer
    x = 152,232.31

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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.