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Finding the Fourth Proportional to 189,590.97, 284,307.55 and 77,194.97

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Solution

The fourth proportional to 189,590.97, 284,307.55 and 77,194.97 is: 115,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,590.97 : 284,307.55 = 77,194.97 : x
  2. Step 2: Convert to fraction form
    189,590.97/284,307.55 = 77,194.97/x
  3. Step 3: Cross multiply
    189,590.97x = 284,307.55 × 77,194.97
  4. Step 4: Simplify right side
    189,590.97x = 21,947,112,793.02
  5. Step 5: Solve for x
    x = 21,947,112,793.02/189,590.97
  6. Step 6: Final answer
    x = 115,760.33

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1.5x scale

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.