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Finding the Fourth Proportional to 189,235.92, 283,853.90 and 89,406.17

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Solution

The fourth proportional to 189,235.92, 283,853.90 and 89,406.17 is: 134,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,235.92 : 283,853.90 = 89,406.17 : x
  2. Step 2: Convert to fraction form
    189,235.92/283,853.90 = 89,406.17/x
  3. Step 3: Cross multiply
    189,235.92x = 283,853.90 × 89,406.17
  4. Step 4: Simplify right side
    189,235.92x = 25,378,290,038.56
  5. Step 5: Solve for x
    x = 25,378,290,038.56/189,235.92
  6. Step 6: Final answer
    x = 134,109.26

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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.