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Finding the Fourth Proportional to 106,444.80, 159,796.80 and 53,827.20

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Solution

The fourth proportional to 106,444.80, 159,796.80 and 53,827.20 is: 80,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,444.80 : 159,796.80 = 53,827.20 : x
  2. Step 2: Convert to fraction form
    106,444.80/159,796.80 = 53,827.20/x
  3. Step 3: Cross multiply
    106,444.80x = 159,796.80 × 53,827.20
  4. Step 4: Simplify right side
    106,444.80x = 8,601,414,312.96
  5. Step 5: Solve for x
    x = 8,601,414,312.96/106,444.80
  6. Step 6: Final answer
    x = 80,806.34

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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.