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Finding the Fourth Proportional to 157,676.31, 217,594.08 and 86,058

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Solution

The fourth proportional to 157,676.31, 217,594.08 and 86,058 is: 118,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,676.31 : 217,594.08 = 86,058 : x
  2. Step 2: Convert to fraction form
    157,676.31/217,594.08 = 86,058/x
  3. Step 3: Cross multiply
    157,676.31x = 217,594.08 × 86,058
  4. Step 4: Simplify right side
    157,676.31x = 18,725,711,336.64
  5. Step 5: Solve for x
    x = 18,725,711,336.64/157,676.31
  6. Step 6: Final answer
    x = 118,760.46

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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.