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Finding the Fourth Proportional to 300,156.68, 450,258.70 and 100,477.80

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Solution

The fourth proportional to 300,156.68, 450,258.70 and 100,477.80 is: 150,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,156.68 : 450,258.70 = 100,477.80 : x
  2. Step 2: Convert to fraction form
    300,156.68/450,258.70 = 100,477.80/x
  3. Step 3: Cross multiply
    300,156.68x = 450,258.70 × 100,477.80
  4. Step 4: Simplify right side
    300,156.68x = 45,241,003,606.86
  5. Step 5: Solve for x
    x = 45,241,003,606.86/300,156.68
  6. Step 6: Final answer
    x = 150,724.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.