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Finding the Fourth Proportional to 189,202.47, 283,699.12 and 75,234.84

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Solution

The fourth proportional to 189,202.47, 283,699.12 and 75,234.84 is: 112,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,202.47 : 283,699.12 = 75,234.84 : x
  2. Step 2: Convert to fraction form
    189,202.47/283,699.12 = 75,234.84/x
  3. Step 3: Cross multiply
    189,202.47x = 283,699.12 × 75,234.84
  4. Step 4: Simplify right side
    189,202.47x = 21,344,057,901.34
  5. Step 5: Solve for x
    x = 21,344,057,901.34/189,202.47
  6. Step 6: Final answer
    x = 112,810.67

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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.