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Finding the Fourth Proportional to 106,609.68, 160,012.44 and 54,056.88

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Solution

The fourth proportional to 106,609.68, 160,012.44 and 54,056.88 is: 81,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,609.68 : 160,012.44 = 54,056.88 : x
  2. Step 2: Convert to fraction form
    106,609.68/160,012.44 = 54,056.88/x
  3. Step 3: Cross multiply
    106,609.68x = 160,012.44 × 54,056.88
  4. Step 4: Simplify right side
    106,609.68x = 8,649,773,267.59
  5. Step 5: Solve for x
    x = 8,649,773,267.59/106,609.68
  6. Step 6: Final answer
    x = 81,134.97

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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.