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Finding the Fourth Proportional to 101,627.96, 152,380.37 and 45,457.60

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Solution

The fourth proportional to 101,627.96, 152,380.37 and 45,457.60 is: 68,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,627.96 : 152,380.37 = 45,457.60 : x
  2. Step 2: Convert to fraction form
    101,627.96/152,380.37 = 45,457.60/x
  3. Step 3: Cross multiply
    101,627.96x = 152,380.37 × 45,457.60
  4. Step 4: Simplify right side
    101,627.96x = 6,926,845,145.41
  5. Step 5: Solve for x
    x = 6,926,845,145.41/101,627.96
  6. Step 6: Final answer
    x = 68,158.86

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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.