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Finding the Fourth Proportional to 205,404.30, 308,106.45 and 57,660.30

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Solution

The fourth proportional to 205,404.30, 308,106.45 and 57,660.30 is: 86,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,404.30 : 308,106.45 = 57,660.30 : x
  2. Step 2: Convert to fraction form
    205,404.30/308,106.45 = 57,660.30/x
  3. Step 3: Cross multiply
    205,404.30x = 308,106.45 × 57,660.30
  4. Step 4: Simplify right side
    205,404.30x = 17,765,510,338.94
  5. Step 5: Solve for x
    x = 17,765,510,338.94/205,404.30
  6. Step 6: Final answer
    x = 86,490.45

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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.