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Finding the Fourth Proportional to 182,048.24, 273,086.04 and 57,386

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Solution

The fourth proportional to 182,048.24, 273,086.04 and 57,386 is: 86,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,048.24 : 273,086.04 = 57,386 : x
  2. Step 2: Convert to fraction form
    182,048.24/273,086.04 = 57,386/x
  3. Step 3: Cross multiply
    182,048.24x = 273,086.04 × 57,386
  4. Step 4: Simplify right side
    182,048.24x = 15,671,315,491.44
  5. Step 5: Solve for x
    x = 15,671,315,491.44/182,048.24
  6. Step 6: Final answer
    x = 86,083.31

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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.