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Finding the Fourth Proportional to 201,262.70, 277,742.75 and 110,618.64

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Solution

The fourth proportional to 201,262.70, 277,742.75 and 110,618.64 is: 152,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,262.70 : 277,742.75 = 110,618.64 : x
  2. Step 2: Convert to fraction form
    201,262.70/277,742.75 = 110,618.64/x
  3. Step 3: Cross multiply
    201,262.70x = 277,742.75 × 110,618.64
  4. Step 4: Simplify right side
    201,262.70x = 30,723,525,274.86
  5. Step 5: Solve for x
    x = 30,723,525,274.86/201,262.70
  6. Step 6: Final answer
    x = 152,653.85

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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.