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Finding the Fourth Proportional to 301,101.04, 451,719.96 and 101,414.80

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Solution

The fourth proportional to 301,101.04, 451,719.96 and 101,414.80 is: 152,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.04 : 451,719.96 = 101,414.80 : x
  2. Step 2: Convert to fraction form
    301,101.04/451,719.96 = 101,414.80/x
  3. Step 3: Cross multiply
    301,101.04x = 451,719.96 × 101,414.80
  4. Step 4: Simplify right side
    301,101.04x = 45,811,089,399.41
  5. Step 5: Solve for x
    x = 45,811,089,399.41/301,101.04
  6. Step 6: Final answer
    x = 152,145.24

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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.