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Finding the Fourth Proportional to 106,116.32, 159,028.32 and 53,560.64

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Solution

The fourth proportional to 106,116.32, 159,028.32 and 53,560.64 is: 80,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.32 : 159,028.32 = 53,560.64 : x
  2. Step 2: Convert to fraction form
    106,116.32/159,028.32 = 53,560.64/x
  3. Step 3: Cross multiply
    106,116.32x = 159,028.32 × 53,560.64
  4. Step 4: Simplify right side
    106,116.32x = 8,517,658,597.32
  5. Step 5: Solve for x
    x = 8,517,658,597.32/106,116.32
  6. Step 6: Final answer
    x = 80,267.19

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1.5x scale

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.