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Finding the Fourth Proportional to 289,825.60, 434,738.40 and 102,812.80

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Solution

The fourth proportional to 289,825.60, 434,738.40 and 102,812.80 is: 154,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,825.60 : 434,738.40 = 102,812.80 : x
  2. Step 2: Convert to fraction form
    289,825.60/434,738.40 = 102,812.80/x
  3. Step 3: Cross multiply
    289,825.60x = 434,738.40 × 102,812.80
  4. Step 4: Simplify right side
    289,825.60x = 44,696,672,171.52
  5. Step 5: Solve for x
    x = 44,696,672,171.52/289,825.60
  6. Step 6: Final answer
    x = 154,219.20

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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.