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Finding the Fourth Proportional to 149,804.56, 224,707.70 and 49,964.47

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Solution

The fourth proportional to 149,804.56, 224,707.70 and 49,964.47 is: 74,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,804.56 : 224,707.70 = 49,964.47 : x
  2. Step 2: Convert to fraction form
    149,804.56/224,707.70 = 49,964.47/x
  3. Step 3: Cross multiply
    149,804.56x = 224,707.70 × 49,964.47
  4. Step 4: Simplify right side
    149,804.56x = 11,227,401,135.42
  5. Step 5: Solve for x
    x = 11,227,401,135.42/149,804.56
  6. Step 6: Final answer
    x = 74,946.99

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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.