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Finding the Fourth Proportional to 234,454.50, 350,881.47 and 149,022.05

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Solution

The fourth proportional to 234,454.50, 350,881.47 and 149,022.05 is: 223,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,454.50 : 350,881.47 = 149,022.05 : x
  2. Step 2: Convert to fraction form
    234,454.50/350,881.47 = 149,022.05/x
  3. Step 3: Cross multiply
    234,454.50x = 350,881.47 × 149,022.05
  4. Step 4: Simplify right side
    234,454.50x = 52,289,074,212.01
  5. Step 5: Solve for x
    x = 52,289,074,212.01/234,454.50
  6. Step 6: Final answer
    x = 223,024.40

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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.