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Finding the Fourth Proportional to 205,854.56, 308,738.55 and 58,076

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Solution

The fourth proportional to 205,854.56, 308,738.55 and 58,076 is: 87,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,854.56 : 308,738.55 = 58,076 : x
  2. Step 2: Convert to fraction form
    205,854.56/308,738.55 = 58,076/x
  3. Step 3: Cross multiply
    205,854.56x = 308,738.55 × 58,076
  4. Step 4: Simplify right side
    205,854.56x = 17,930,300,029.80
  5. Step 5: Solve for x
    x = 17,930,300,029.80/205,854.56
  6. Step 6: Final answer
    x = 87,101.79

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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.