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Finding the Fourth Proportional to 189,154.40, 283,773.76 and 82,555.60

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Solution

The fourth proportional to 189,154.40, 283,773.76 and 82,555.60 is: 123,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,154.40 : 283,773.76 = 82,555.60 : x
  2. Step 2: Convert to fraction form
    189,154.40/283,773.76 = 82,555.60/x
  3. Step 3: Cross multiply
    189,154.40x = 283,773.76 × 82,555.60
  4. Step 4: Simplify right side
    189,154.40x = 23,427,113,021.06
  5. Step 5: Solve for x
    x = 23,427,113,021.06/189,154.40
  6. Step 6: Final answer
    x = 123,851.80

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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.