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Finding the Fourth Proportional to 189,182.66, 283,765.78 and 47,024.92

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Solution

The fourth proportional to 189,182.66, 283,765.78 and 47,024.92 is: 70,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,182.66 : 283,765.78 = 47,024.92 : x
  2. Step 2: Convert to fraction form
    189,182.66/283,765.78 = 47,024.92/x
  3. Step 3: Cross multiply
    189,182.66x = 283,765.78 × 47,024.92
  4. Step 4: Simplify right side
    189,182.66x = 13,344,063,516.73
  5. Step 5: Solve for x
    x = 13,344,063,516.73/189,182.66
  6. Step 6: Final answer
    x = 70,535.34

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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.