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Finding the Fourth Proportional to 176,302.31, 264,461.97 and 57,971.03

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Solution

The fourth proportional to 176,302.31, 264,461.97 and 57,971.03 is: 86,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,302.31 : 264,461.97 = 57,971.03 : x
  2. Step 2: Convert to fraction form
    176,302.31/264,461.97 = 57,971.03/x
  3. Step 3: Cross multiply
    176,302.31x = 264,461.97 × 57,971.03
  4. Step 4: Simplify right side
    176,302.31x = 15,331,132,796.73
  5. Step 5: Solve for x
    x = 15,331,132,796.73/176,302.31
  6. Step 6: Final answer
    x = 86,959.34

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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.