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Finding the Fourth Proportional to 146,142.30, 219,213.45 and 57,366.30

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Solution

The fourth proportional to 146,142.30, 219,213.45 and 57,366.30 is: 86,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142.30 : 219,213.45 = 57,366.30 : x
  2. Step 2: Convert to fraction form
    146,142.30/219,213.45 = 57,366.30/x
  3. Step 3: Cross multiply
    146,142.30x = 219,213.45 × 57,366.30
  4. Step 4: Simplify right side
    146,142.30x = 12,575,464,536.74
  5. Step 5: Solve for x
    x = 12,575,464,536.74/146,142.30
  6. Step 6: Final answer
    x = 86,049.45

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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.