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Finding the Fourth Proportional to 289,823.80, 434,865.30 and 102,969.40

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Solution

The fourth proportional to 289,823.80, 434,865.30 and 102,969.40 is: 154,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,823.80 : 434,865.30 = 102,969.40 : x
  2. Step 2: Convert to fraction form
    289,823.80/434,865.30 = 102,969.40/x
  3. Step 3: Cross multiply
    289,823.80x = 434,865.30 × 102,969.40
  4. Step 4: Simplify right side
    289,823.80x = 44,777,819,021.82
  5. Step 5: Solve for x
    x = 44,777,819,021.82/289,823.80
  6. Step 6: Final answer
    x = 154,500.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.