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Finding the Fourth Proportional to 150,477.96, 207,658.27 and 82,493.70

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Solution

The fourth proportional to 150,477.96, 207,658.27 and 82,493.70 is: 113,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,477.96 : 207,658.27 = 82,493.70 : x
  2. Step 2: Convert to fraction form
    150,477.96/207,658.27 = 82,493.70/x
  3. Step 3: Cross multiply
    150,477.96x = 207,658.27 × 82,493.70
  4. Step 4: Simplify right side
    150,477.96x = 17,130,499,134.58
  5. Step 5: Solve for x
    x = 17,130,499,134.58/150,477.96
  6. Step 6: Final answer
    x = 113,840.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.