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Finding the Fourth Proportional to 189,263.37, 284,081.87 and 100,516.63

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Solution

The fourth proportional to 189,263.37, 284,081.87 and 100,516.63 is: 150,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,263.37 : 284,081.87 = 100,516.63 : x
  2. Step 2: Convert to fraction form
    189,263.37/284,081.87 = 100,516.63/x
  3. Step 3: Cross multiply
    189,263.37x = 284,081.87 × 100,516.63
  4. Step 4: Simplify right side
    189,263.37x = 28,554,952,216.50
  5. Step 5: Solve for x
    x = 28,554,952,216.50/189,263.37
  6. Step 6: Final answer
    x = 150,874.16

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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.