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Finding the Fourth Proportional to 176,134.80, 264,146.76 and 57,778.64

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Solution

The fourth proportional to 176,134.80, 264,146.76 and 57,778.64 is: 86,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,134.80 : 264,146.76 = 57,778.64 : x
  2. Step 2: Convert to fraction form
    176,134.80/264,146.76 = 57,778.64/x
  3. Step 3: Cross multiply
    176,134.80x = 264,146.76 × 57,778.64
  4. Step 4: Simplify right side
    176,134.80x = 15,262,040,553.21
  5. Step 5: Solve for x
    x = 15,262,040,553.21/176,134.80
  6. Step 6: Final answer
    x = 86,649.77

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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.