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Finding the Fourth Proportional to 189,618.84, 284,511.24 and 89,850.24

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Solution

The fourth proportional to 189,618.84, 284,511.24 and 89,850.24 is: 134,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,618.84 : 284,511.24 = 89,850.24 : x
  2. Step 2: Convert to fraction form
    189,618.84/284,511.24 = 89,850.24/x
  3. Step 3: Cross multiply
    189,618.84x = 284,511.24 × 89,850.24
  4. Step 4: Simplify right side
    189,618.84x = 25,563,403,196.70
  5. Step 5: Solve for x
    x = 25,563,403,196.70/189,618.84
  6. Step 6: Final answer
    x = 134,814.68

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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.