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Finding the Fourth Proportional to 106,114.32, 159,025.32 and 53,558.64

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Solution

The fourth proportional to 106,114.32, 159,025.32 and 53,558.64 is: 80,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.32 : 159,025.32 = 53,558.64 : x
  2. Step 2: Convert to fraction form
    106,114.32/159,025.32 = 53,558.64/x
  3. Step 3: Cross multiply
    106,114.32x = 159,025.32 × 53,558.64
  4. Step 4: Simplify right side
    106,114.32x = 8,517,179,864.76
  5. Step 5: Solve for x
    x = 8,517,179,864.76/106,114.32
  6. Step 6: Final answer
    x = 80,264.19

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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.