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Finding the Fourth Proportional to 149,803.56, 224,706.20 and 49,963.47

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Solution

The fourth proportional to 149,803.56, 224,706.20 and 49,963.47 is: 74,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,803.56 : 224,706.20 = 49,963.47 : x
  2. Step 2: Convert to fraction form
    149,803.56/224,706.20 = 49,963.47/x
  3. Step 3: Cross multiply
    149,803.56x = 224,706.20 × 49,963.47
  4. Step 4: Simplify right side
    149,803.56x = 11,227,101,232.70
  5. Step 5: Solve for x
    x = 11,227,101,232.70/149,803.56
  6. Step 6: Final answer
    x = 74,945.49

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1.5x scale

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.