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Finding the Fourth Proportional to 149,882.76, 224,818.74 and 37,563.84

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Solution

The fourth proportional to 149,882.76, 224,818.74 and 37,563.84 is: 56,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,882.76 : 224,818.74 = 37,563.84 : x
  2. Step 2: Convert to fraction form
    149,882.76/224,818.74 = 37,563.84/x
  3. Step 3: Cross multiply
    149,882.76x = 224,818.74 × 37,563.84
  4. Step 4: Simplify right side
    149,882.76x = 8,445,055,178.36
  5. Step 5: Solve for x
    x = 8,445,055,178.36/149,882.76
  6. Step 6: Final answer
    x = 56,344.41

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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.