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Finding the Fourth Proportional to 289,659.80, 434,522.10 and 89,978.60

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Solution

The fourth proportional to 289,659.80, 434,522.10 and 89,978.60 is: 134,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,659.80 : 434,522.10 = 89,978.60 : x
  2. Step 2: Convert to fraction form
    289,659.80/434,522.10 = 89,978.60/x
  3. Step 3: Cross multiply
    289,659.80x = 434,522.10 × 89,978.60
  4. Step 4: Simplify right side
    289,659.80x = 39,097,690,227.06
  5. Step 5: Solve for x
    x = 39,097,690,227.06/289,659.80
  6. Step 6: Final answer
    x = 134,977.96

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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.