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Finding the Fourth Proportional to 106,092.64, 146,405.04 and 57,693.20

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Solution

The fourth proportional to 106,092.64, 146,405.04 and 57,693.20 is: 79,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092.64 : 146,405.04 = 57,693.20 : x
  2. Step 2: Convert to fraction form
    106,092.64/146,405.04 = 57,693.20/x
  3. Step 3: Cross multiply
    106,092.64x = 146,405.04 × 57,693.20
  4. Step 4: Simplify right side
    106,092.64x = 8,446,575,253.73
  5. Step 5: Solve for x
    x = 8,446,575,253.73/106,092.64
  6. Step 6: Final answer
    x = 79,615.09

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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.