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Finding the Fourth Proportional to 201,402.32, 277,929.65 and 110,758.28

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Solution

The fourth proportional to 201,402.32, 277,929.65 and 110,758.28 is: 152,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402.32 : 277,929.65 = 110,758.28 : x
  2. Step 2: Convert to fraction form
    201,402.32/277,929.65 = 110,758.28/x
  3. Step 3: Cross multiply
    201,402.32x = 277,929.65 × 110,758.28
  4. Step 4: Simplify right side
    201,402.32x = 30,783,008,882.25
  5. Step 5: Solve for x
    x = 30,783,008,882.25/201,402.32
  6. Step 6: Final answer
    x = 152,843.37

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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.