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Finding the Fourth Proportional to 201,396.42, 277,921.17 and 110,752.29

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Solution

The fourth proportional to 201,396.42, 277,921.17 and 110,752.29 is: 152,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,396.42 : 277,921.17 = 110,752.29 : x
  2. Step 2: Convert to fraction form
    201,396.42/277,921.17 = 110,752.29/x
  3. Step 3: Cross multiply
    201,396.42x = 277,921.17 × 110,752.29
  4. Step 4: Simplify right side
    201,396.42x = 30,780,406,016.98
  5. Step 5: Solve for x
    x = 30,780,406,016.98/201,396.42
  6. Step 6: Final answer
    x = 152,834.92

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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.