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Finding the Fourth Proportional to 76,192.40, 114,418.20 and 56,493.20

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Solution

The fourth proportional to 76,192.40, 114,418.20 and 56,493.20 is: 84,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,192.40 : 114,418.20 = 56,493.20 : x
  2. Step 2: Convert to fraction form
    76,192.40/114,418.20 = 56,493.20/x
  3. Step 3: Cross multiply
    76,192.40x = 114,418.20 × 56,493.20
  4. Step 4: Simplify right side
    76,192.40x = 6,463,850,256.24
  5. Step 5: Solve for x
    x = 6,463,850,256.24/76,192.40
  6. Step 6: Final answer
    x = 84,835.89

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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.