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Finding the Fourth Proportional to 201,402.38, 277,929.74 and 110,758.34

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Solution

The fourth proportional to 201,402.38, 277,929.74 and 110,758.34 is: 152,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402.38 : 277,929.74 = 110,758.34 : x
  2. Step 2: Convert to fraction form
    201,402.38/277,929.74 = 110,758.34/x
  3. Step 3: Cross multiply
    201,402.38x = 277,929.74 × 110,758.34
  4. Step 4: Simplify right side
    201,402.38x = 30,783,036,639.03
  5. Step 5: Solve for x
    x = 30,783,036,639.03/201,402.38
  6. Step 6: Final answer
    x = 152,843.46

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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.