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Finding the Fourth Proportional to 106,052.88, 146,353.92 and 57,654.90

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Solution

The fourth proportional to 106,052.88, 146,353.92 and 57,654.90 is: 79,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,052.88 : 146,353.92 = 57,654.90 : x
  2. Step 2: Convert to fraction form
    106,052.88/146,353.92 = 57,654.90/x
  3. Step 3: Cross multiply
    106,052.88x = 146,353.92 × 57,654.90
  4. Step 4: Simplify right side
    106,052.88x = 8,438,020,622.21
  5. Step 5: Solve for x
    x = 8,438,020,622.21/106,052.88
  6. Step 6: Final answer
    x = 79,564.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.