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Finding the Fourth Proportional to 205,365.20, 308,043.48 and 94,557.20

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Solution

The fourth proportional to 205,365.20, 308,043.48 and 94,557.20 is: 141,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.20 : 308,043.48 = 94,557.20 : x
  2. Step 2: Convert to fraction form
    205,365.20/308,043.48 = 94,557.20/x
  3. Step 3: Cross multiply
    205,365.20x = 308,043.48 × 94,557.20
  4. Step 4: Simplify right side
    205,365.20x = 29,127,728,947.06
  5. Step 5: Solve for x
    x = 29,127,728,947.06/205,365.20
  6. Step 6: Final answer
    x = 141,833.81

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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.