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Finding the Fourth Proportional to 205,528.56, 308,288.16 and 94,720.56

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Solution

The fourth proportional to 205,528.56, 308,288.16 and 94,720.56 is: 142,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,528.56 : 308,288.16 = 94,720.56 : x
  2. Step 2: Convert to fraction form
    205,528.56/308,288.16 = 94,720.56/x
  3. Step 3: Cross multiply
    205,528.56x = 308,288.16 × 94,720.56
  4. Step 4: Simplify right side
    205,528.56x = 29,201,227,156.57
  5. Step 5: Solve for x
    x = 29,201,227,156.57/205,528.56
  6. Step 6: Final answer
    x = 142,078.68

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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.