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Finding the Fourth Proportional to 176,738.64, 264,915.15 and 86,843.22

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Solution

The fourth proportional to 176,738.64, 264,915.15 and 86,843.22 is: 130,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,738.64 : 264,915.15 = 86,843.22 : x
  2. Step 2: Convert to fraction form
    176,738.64/264,915.15 = 86,843.22/x
  3. Step 3: Cross multiply
    176,738.64x = 264,915.15 × 86,843.22
  4. Step 4: Simplify right side
    176,738.64x = 23,006,084,652.78
  5. Step 5: Solve for x
    x = 23,006,084,652.78/176,738.64
  6. Step 6: Final answer
    x = 130,170.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.