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Finding the Fourth Proportional to 104,149, 156,250.14 and 30,277

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Solution

The fourth proportional to 104,149, 156,250.14 and 30,277 is: 45,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,149 : 156,250.14 = 30,277 : x
  2. Step 2: Convert to fraction form
    104,149/156,250.14 = 30,277/x
  3. Step 3: Cross multiply
    104,149x = 156,250.14 × 30,277
  4. Step 4: Simplify right side
    104,149x = 4,730,785,488.78
  5. Step 5: Solve for x
    x = 4,730,785,488.78/104,149
  6. Step 6: Final answer
    x = 45,423.24

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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.