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Finding the Fourth Proportional to 189,624.84, 284,520.24 and 89,856.24

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Solution

The fourth proportional to 189,624.84, 284,520.24 and 89,856.24 is: 134,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,624.84 : 284,520.24 = 89,856.24 : x
  2. Step 2: Convert to fraction form
    189,624.84/284,520.24 = 89,856.24/x
  3. Step 3: Cross multiply
    189,624.84x = 284,520.24 × 89,856.24
  4. Step 4: Simplify right side
    189,624.84x = 25,565,918,970.30
  5. Step 5: Solve for x
    x = 25,565,918,970.30/189,624.84
  6. Step 6: Final answer
    x = 134,823.68

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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.