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Finding the Fourth Proportional to 76,125.30, 114,199.50 and 55,223.07

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Solution

The fourth proportional to 76,125.30, 114,199.50 and 55,223.07 is: 82,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,125.30 : 114,199.50 = 55,223.07 : x
  2. Step 2: Convert to fraction form
    76,125.30/114,199.50 = 55,223.07/x
  3. Step 3: Cross multiply
    76,125.30x = 114,199.50 × 55,223.07
  4. Step 4: Simplify right side
    76,125.30x = 6,306,446,982.47
  5. Step 5: Solve for x
    x = 6,306,446,982.47/76,125.30
  6. Step 6: Final answer
    x = 82,842.98

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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.