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Finding the Fourth Proportional to 147,682.54, 203,818.98 and 84,030.31

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Solution

The fourth proportional to 147,682.54, 203,818.98 and 84,030.31 is: 115,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,682.54 : 203,818.98 = 84,030.31 : x
  2. Step 2: Convert to fraction form
    147,682.54/203,818.98 = 84,030.31/x
  3. Step 3: Cross multiply
    147,682.54x = 203,818.98 × 84,030.31
  4. Step 4: Simplify right side
    147,682.54x = 17,126,972,073.28
  5. Step 5: Solve for x
    x = 17,126,972,073.28/147,682.54
  6. Step 6: Final answer
    x = 115,971.54

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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.