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Finding the Fourth Proportional to 289,715.40, 434,616.30 and 102,712.20

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Solution

The fourth proportional to 289,715.40, 434,616.30 and 102,712.20 is: 154,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,715.40 : 434,616.30 = 102,712.20 : x
  2. Step 2: Convert to fraction form
    289,715.40/434,616.30 = 102,712.20/x
  3. Step 3: Cross multiply
    289,715.40x = 434,616.30 × 102,712.20
  4. Step 4: Simplify right side
    289,715.40x = 44,640,396,328.86
  5. Step 5: Solve for x
    x = 44,640,396,328.86/289,715.40
  6. Step 6: Final answer
    x = 154,083.62

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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.