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Finding the Fourth Proportional to 255,009.48, 382,164.30 and 161,347.56

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Solution

The fourth proportional to 255,009.48, 382,164.30 and 161,347.56 is: 241,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,009.48 : 382,164.30 = 161,347.56 : x
  2. Step 2: Convert to fraction form
    255,009.48/382,164.30 = 161,347.56/x
  3. Step 3: Cross multiply
    255,009.48x = 382,164.30 × 161,347.56
  4. Step 4: Simplify right side
    255,009.48x = 61,661,277,324.11
  5. Step 5: Solve for x
    x = 61,661,277,324.11/255,009.48
  6. Step 6: Final answer
    x = 241,799.94

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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.