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Finding the Fourth Proportional to 209,892.94, 289,423.57 and 141,791.73

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Solution

The fourth proportional to 209,892.94, 289,423.57 and 141,791.73 is: 195,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.94 : 289,423.57 = 141,791.73 : x
  2. Step 2: Convert to fraction form
    209,892.94/289,423.57 = 141,791.73/x
  3. Step 3: Cross multiply
    209,892.94x = 289,423.57 × 141,791.73
  4. Step 4: Simplify right side
    209,892.94x = 41,037,868,693.08
  5. Step 5: Solve for x
    x = 41,037,868,693.08/209,892.94
  6. Step 6: Final answer
    x = 195,518.10

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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.