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Finding the Fourth Proportional to 189,094.80, 283,642.20 and 100,302.60

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Solution

The fourth proportional to 189,094.80, 283,642.20 and 100,302.60 is: 150,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.80 : 283,642.20 = 100,302.60 : x
  2. Step 2: Convert to fraction form
    189,094.80/283,642.20 = 100,302.60/x
  3. Step 3: Cross multiply
    189,094.80x = 283,642.20 × 100,302.60
  4. Step 4: Simplify right side
    189,094.80x = 28,450,050,129.72
  5. Step 5: Solve for x
    x = 28,450,050,129.72/189,094.80
  6. Step 6: Final answer
    x = 150,453.90

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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.