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Finding the Fourth Proportional to 189,443.70, 284,171.67 and 99,463.63

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Solution

The fourth proportional to 189,443.70, 284,171.67 and 99,463.63 is: 149,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,443.70 : 284,171.67 = 99,463.63 : x
  2. Step 2: Convert to fraction form
    189,443.70/284,171.67 = 99,463.63/x
  3. Step 3: Cross multiply
    189,443.70x = 284,171.67 × 99,463.63
  4. Step 4: Simplify right side
    189,443.70x = 28,264,745,841.36
  5. Step 5: Solve for x
    x = 28,264,745,841.36/189,443.70
  6. Step 6: Final answer
    x = 149,198.66

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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.