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Finding the Fourth Proportional to 149,846.30, 224,769.45 and 142,934.30

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Solution

The fourth proportional to 149,846.30, 224,769.45 and 142,934.30 is: 214,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846.30 : 224,769.45 = 142,934.30 : x
  2. Step 2: Convert to fraction form
    149,846.30/224,769.45 = 142,934.30/x
  3. Step 3: Cross multiply
    149,846.30x = 224,769.45 × 142,934.30
  4. Step 4: Simplify right side
    149,846.30x = 32,127,263,997.14
  5. Step 5: Solve for x
    x = 32,127,263,997.14/149,846.30
  6. Step 6: Final answer
    x = 214,401.45

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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.