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Finding the Fourth Proportional to 210,735.28, 316,103.20 and 86,076.32

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Solution

The fourth proportional to 210,735.28, 316,103.20 and 86,076.32 is: 129,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,735.28 : 316,103.20 = 86,076.32 : x
  2. Step 2: Convert to fraction form
    210,735.28/316,103.20 = 86,076.32/x
  3. Step 3: Cross multiply
    210,735.28x = 316,103.20 × 86,076.32
  4. Step 4: Simplify right side
    210,735.28x = 27,209,000,196.22
  5. Step 5: Solve for x
    x = 27,209,000,196.22/210,735.28
  6. Step 6: Final answer
    x = 129,114.59

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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.