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Finding the Fourth Proportional to 189,393.50, 284,037.68 and 52,585.17

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Solution

The fourth proportional to 189,393.50, 284,037.68 and 52,585.17 is: 78,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,393.50 : 284,037.68 = 52,585.17 : x
  2. Step 2: Convert to fraction form
    189,393.50/284,037.68 = 52,585.17/x
  3. Step 3: Cross multiply
    189,393.50x = 284,037.68 × 52,585.17
  4. Step 4: Simplify right side
    189,393.50x = 14,936,169,426.28
  5. Step 5: Solve for x
    x = 14,936,169,426.28/189,393.50
  6. Step 6: Final answer
    x = 78,863.16

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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.