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Finding the Fourth Proportional to 201,364.38, 277,792.74 and 116,421.30

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Solution

The fourth proportional to 201,364.38, 277,792.74 and 116,421.30 is: 160,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,364.38 : 277,792.74 = 116,421.30 : x
  2. Step 2: Convert to fraction form
    201,364.38/277,792.74 = 116,421.30/x
  3. Step 3: Cross multiply
    201,364.38x = 277,792.74 × 116,421.30
  4. Step 4: Simplify right side
    201,364.38x = 32,340,991,921.36
  5. Step 5: Solve for x
    x = 32,340,991,921.36/201,364.38
  6. Step 6: Final answer
    x = 160,609.30

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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.