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Finding the Fourth Proportional to 147,828.63, 204,003.71 and 84,166.41

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Solution

The fourth proportional to 147,828.63, 204,003.71 and 84,166.41 is: 116,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,828.63 : 204,003.71 = 84,166.41 : x
  2. Step 2: Convert to fraction form
    147,828.63/204,003.71 = 84,166.41/x
  3. Step 3: Cross multiply
    147,828.63x = 204,003.71 × 84,166.41
  4. Step 4: Simplify right side
    147,828.63x = 17,170,259,897.38
  5. Step 5: Solve for x
    x = 17,170,259,897.38/147,828.63
  6. Step 6: Final answer
    x = 116,149.76

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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.