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Finding the Fourth Proportional to 149,635.98, 224,490.57 and 49,795.98

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Solution

The fourth proportional to 149,635.98, 224,490.57 and 49,795.98 is: 74,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,635.98 : 224,490.57 = 49,795.98 : x
  2. Step 2: Convert to fraction form
    149,635.98/224,490.57 = 49,795.98/x
  3. Step 3: Cross multiply
    149,635.98x = 224,490.57 × 49,795.98
  4. Step 4: Simplify right side
    149,635.98x = 11,178,727,933.91
  5. Step 5: Solve for x
    x = 11,178,727,933.91/149,635.98
  6. Step 6: Final answer
    x = 74,706.15

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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.