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Finding the Fourth Proportional to 201,261.70, 277,741.37 and 110,617.64

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Solution

The fourth proportional to 201,261.70, 277,741.37 and 110,617.64 is: 152,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,261.70 : 277,741.37 = 110,617.64 : x
  2. Step 2: Convert to fraction form
    201,261.70/277,741.37 = 110,617.64/x
  3. Step 3: Cross multiply
    201,261.70x = 277,741.37 × 110,617.64
  4. Step 4: Simplify right side
    201,261.70x = 30,723,094,879.77
  5. Step 5: Solve for x
    x = 30,723,094,879.77/201,261.70
  6. Step 6: Final answer
    x = 152,652.47

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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.