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Finding the Fourth Proportional to 149,807.10, 224,743.05 and 49,950.30

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Solution

The fourth proportional to 149,807.10, 224,743.05 and 49,950.30 is: 74,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,807.10 : 224,743.05 = 49,950.30 : x
  2. Step 2: Convert to fraction form
    149,807.10/224,743.05 = 49,950.30/x
  3. Step 3: Cross multiply
    149,807.10x = 224,743.05 × 49,950.30
  4. Step 4: Simplify right side
    149,807.10x = 11,225,982,770.42
  5. Step 5: Solve for x
    x = 11,225,982,770.42/149,807.10
  6. Step 6: Final answer
    x = 74,936.25

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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.