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Finding the Fourth Proportional to 147,893.80, 204,114.60 and 84,237.52

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Solution

The fourth proportional to 147,893.80, 204,114.60 and 84,237.52 is: 116,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,893.80 : 204,114.60 = 84,237.52 : x
  2. Step 2: Convert to fraction form
    147,893.80/204,114.60 = 84,237.52/x
  3. Step 3: Cross multiply
    147,893.80x = 204,114.60 × 84,237.52
  4. Step 4: Simplify right side
    147,893.80x = 17,194,107,699.79
  5. Step 5: Solve for x
    x = 17,194,107,699.79/147,893.80
  6. Step 6: Final answer
    x = 116,259.83

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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.