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Finding the Fourth Proportional to 311,192.10, 466,788.15 and 100,851.30

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Solution

The fourth proportional to 311,192.10, 466,788.15 and 100,851.30 is: 151,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,192.10 : 466,788.15 = 100,851.30 : x
  2. Step 2: Convert to fraction form
    311,192.10/466,788.15 = 100,851.30/x
  3. Step 3: Cross multiply
    311,192.10x = 466,788.15 × 100,851.30
  4. Step 4: Simplify right side
    311,192.10x = 47,076,191,752.10
  5. Step 5: Solve for x
    x = 47,076,191,752.10/311,192.10
  6. Step 6: Final answer
    x = 151,276.95

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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.