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Finding the Fourth Proportional to 106,577.88, 159,866.86 and 54,002.40

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Solution

The fourth proportional to 106,577.88, 159,866.86 and 54,002.40 is: 81,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,577.88 : 159,866.86 = 54,002.40 : x
  2. Step 2: Convert to fraction form
    106,577.88/159,866.86 = 54,002.40/x
  3. Step 3: Cross multiply
    106,577.88x = 159,866.86 × 54,002.40
  4. Step 4: Simplify right side
    106,577.88x = 8,633,194,120.46
  5. Step 5: Solve for x
    x = 8,633,194,120.46/106,577.88
  6. Step 6: Final answer
    x = 81,003.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.