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Finding the Fourth Proportional to 200,903.37, 277,245.75 and 110,260.86

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Solution

The fourth proportional to 200,903.37, 277,245.75 and 110,260.86 is: 152,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,903.37 : 277,245.75 = 110,260.86 : x
  2. Step 2: Convert to fraction form
    200,903.37/277,245.75 = 110,260.86/x
  3. Step 3: Cross multiply
    200,903.37x = 277,245.75 × 110,260.86
  4. Step 4: Simplify right side
    200,903.37x = 30,569,354,826.35
  5. Step 5: Solve for x
    x = 30,569,354,826.35/200,903.37
  6. Step 6: Final answer
    x = 152,159.49

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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.