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Finding the Fourth Proportional to 149,803.81, 224,706.57 and 49,963.72

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Solution

The fourth proportional to 149,803.81, 224,706.57 and 49,963.72 is: 74,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,803.81 : 224,706.57 = 49,963.72 : x
  2. Step 2: Convert to fraction form
    149,803.81/224,706.57 = 49,963.72/x
  3. Step 3: Cross multiply
    149,803.81x = 224,706.57 × 49,963.72
  4. Step 4: Simplify right side
    149,803.81x = 11,227,176,145.64
  5. Step 5: Solve for x
    x = 11,227,176,145.64/149,803.81
  6. Step 6: Final answer
    x = 74,945.87

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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.