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Finding the Fourth Proportional to 213,443.10, 320,180.85 and 63,671.67

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Solution

The fourth proportional to 213,443.10, 320,180.85 and 63,671.67 is: 95,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,443.10 : 320,180.85 = 63,671.67 : x
  2. Step 2: Convert to fraction form
    213,443.10/320,180.85 = 63,671.67/x
  3. Step 3: Cross multiply
    213,443.10x = 320,180.85 × 63,671.67
  4. Step 4: Simplify right side
    213,443.10x = 20,386,449,421.52
  5. Step 5: Solve for x
    x = 20,386,449,421.52/213,443.10
  6. Step 6: Final answer
    x = 95,512.34

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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.