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Finding the Fourth Proportional to 189,894.10, 284,857.41 and 49,652.50

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Solution

The fourth proportional to 189,894.10, 284,857.41 and 49,652.50 is: 74,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,894.10 : 284,857.41 = 49,652.50 : x
  2. Step 2: Convert to fraction form
    189,894.10/284,857.41 = 49,652.50/x
  3. Step 3: Cross multiply
    189,894.10x = 284,857.41 × 49,652.50
  4. Step 4: Simplify right side
    189,894.10x = 14,143,882,550.03
  5. Step 5: Solve for x
    x = 14,143,882,550.03/189,894.10
  6. Step 6: Final answer
    x = 74,483.00

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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.