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Finding the Fourth Proportional to 146,170.40, 219,313.20 and 57,408.80

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Solution

The fourth proportional to 146,170.40, 219,313.20 and 57,408.80 is: 86,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,170.40 : 219,313.20 = 57,408.80 : x
  2. Step 2: Convert to fraction form
    146,170.40/219,313.20 = 57,408.80/x
  3. Step 3: Cross multiply
    146,170.40x = 219,313.20 × 57,408.80
  4. Step 4: Simplify right side
    146,170.40x = 12,590,507,636.16
  5. Step 5: Solve for x
    x = 12,590,507,636.16/146,170.40
  6. Step 6: Final answer
    x = 86,135.82

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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.