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Finding the Fourth Proportional to 201,676.32, 278,287.92 and 116,792.64

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Solution

The fourth proportional to 201,676.32, 278,287.92 and 116,792.64 is: 161,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.32 : 278,287.92 = 116,792.64 : x
  2. Step 2: Convert to fraction form
    201,676.32/278,287.92 = 116,792.64/x
  3. Step 3: Cross multiply
    201,676.32x = 278,287.92 × 116,792.64
  4. Step 4: Simplify right side
    201,676.32x = 32,501,980,856.91
  5. Step 5: Solve for x
    x = 32,501,980,856.91/201,676.32
  6. Step 6: Final answer
    x = 161,159.13

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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.