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Finding the Fourth Proportional to 205,021.60, 307,532.40 and 94,429.60

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Solution

The fourth proportional to 205,021.60, 307,532.40 and 94,429.60 is: 141,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,021.60 : 307,532.40 = 94,429.60 : x
  2. Step 2: Convert to fraction form
    205,021.60/307,532.40 = 94,429.60/x
  3. Step 3: Cross multiply
    205,021.60x = 307,532.40 × 94,429.60
  4. Step 4: Simplify right side
    205,021.60x = 29,040,161,519.04
  5. Step 5: Solve for x
    x = 29,040,161,519.04/205,021.60
  6. Step 6: Final answer
    x = 141,644.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.