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Finding the Fourth Proportional to 150,037.80, 224,826.30 and 130,223.40

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Solution

The fourth proportional to 150,037.80, 224,826.30 and 130,223.40 is: 195,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,037.80 : 224,826.30 = 130,223.40 : x
  2. Step 2: Convert to fraction form
    150,037.80/224,826.30 = 130,223.40/x
  3. Step 3: Cross multiply
    150,037.80x = 224,826.30 × 130,223.40
  4. Step 4: Simplify right side
    150,037.80x = 29,277,645,195.42
  5. Step 5: Solve for x
    x = 29,277,645,195.42/150,037.80
  6. Step 6: Final answer
    x = 195,135.13

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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.