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Finding the Fourth Proportional to 149,384.70, 224,077.05 and 38,576.70

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Solution

The fourth proportional to 149,384.70, 224,077.05 and 38,576.70 is: 57,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,384.70 : 224,077.05 = 38,576.70 : x
  2. Step 2: Convert to fraction form
    149,384.70/224,077.05 = 38,576.70/x
  3. Step 3: Cross multiply
    149,384.70x = 224,077.05 × 38,576.70
  4. Step 4: Simplify right side
    149,384.70x = 8,644,153,134.74
  5. Step 5: Solve for x
    x = 8,644,153,134.74/149,384.70
  6. Step 6: Final answer
    x = 57,865.05

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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.