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Finding the Fourth Proportional to 213,591.69, 294,753.29 and 116,795.86

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Solution

The fourth proportional to 213,591.69, 294,753.29 and 116,795.86 is: 161,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,591.69 : 294,753.29 = 116,795.86 : x
  2. Step 2: Convert to fraction form
    213,591.69/294,753.29 = 116,795.86/x
  3. Step 3: Cross multiply
    213,591.69x = 294,753.29 × 116,795.86
  4. Step 4: Simplify right side
    213,591.69x = 34,425,963,993.38
  5. Step 5: Solve for x
    x = 34,425,963,993.38/213,591.69
  6. Step 6: Final answer
    x = 161,176.51

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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.