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Finding the Fourth Proportional to 284,109.63, 392,153.25 and 167,930.73

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Solution

The fourth proportional to 284,109.63, 392,153.25 and 167,930.73 is: 231,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,109.63 : 392,153.25 = 167,930.73 : x
  2. Step 2: Convert to fraction form
    284,109.63/392,153.25 = 167,930.73/x
  3. Step 3: Cross multiply
    284,109.63x = 392,153.25 × 167,930.73
  4. Step 4: Simplify right side
    284,109.63x = 65,854,581,544.37
  5. Step 5: Solve for x
    x = 65,854,581,544.37/284,109.63
  6. Step 6: Final answer
    x = 231,792.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.