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Finding the Fourth Proportional to 306,530.30, 459,795.45 and 96,167.90

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Solution

The fourth proportional to 306,530.30, 459,795.45 and 96,167.90 is: 144,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,530.30 : 459,795.45 = 96,167.90 : x
  2. Step 2: Convert to fraction form
    306,530.30/459,795.45 = 96,167.90/x
  3. Step 3: Cross multiply
    306,530.30x = 459,795.45 × 96,167.90
  4. Step 4: Simplify right side
    306,530.30x = 44,217,562,856.06
  5. Step 5: Solve for x
    x = 44,217,562,856.06/306,530.30
  6. Step 6: Final answer
    x = 144,251.85

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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.