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Finding the Fourth Proportional to 209,791.62, 289,512.47 and 114,298.32

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Solution

The fourth proportional to 209,791.62, 289,512.47 and 114,298.32 is: 157,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,791.62 : 289,512.47 = 114,298.32 : x
  2. Step 2: Convert to fraction form
    209,791.62/289,512.47 = 114,298.32/x
  3. Step 3: Cross multiply
    209,791.62x = 289,512.47 × 114,298.32
  4. Step 4: Simplify right side
    209,791.62x = 33,090,788,361.50
  5. Step 5: Solve for x
    x = 33,090,788,361.50/209,791.62
  6. Step 6: Final answer
    x = 157,731.70

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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.