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Finding the Fourth Proportional to 205,391.70, 308,087.55 and 57,647.70

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Solution

The fourth proportional to 205,391.70, 308,087.55 and 57,647.70 is: 86,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,391.70 : 308,087.55 = 57,647.70 : x
  2. Step 2: Convert to fraction form
    205,391.70/308,087.55 = 57,647.70/x
  3. Step 3: Cross multiply
    205,391.70x = 308,087.55 × 57,647.70
  4. Step 4: Simplify right side
    205,391.70x = 17,760,538,656.14
  5. Step 5: Solve for x
    x = 17,760,538,656.14/205,391.70
  6. Step 6: Final answer
    x = 86,471.55

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1.5x scale

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.