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Finding the Fourth Proportional to 189,219.36, 283,746.67 and 54,253.65

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Solution

The fourth proportional to 189,219.36, 283,746.67 and 54,253.65 is: 81,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,219.36 : 283,746.67 = 54,253.65 : x
  2. Step 2: Convert to fraction form
    189,219.36/283,746.67 = 54,253.65/x
  3. Step 3: Cross multiply
    189,219.36x = 283,746.67 × 54,253.65
  4. Step 4: Simplify right side
    189,219.36x = 15,394,292,522.85
  5. Step 5: Solve for x
    x = 15,394,292,522.85/189,219.36
  6. Step 6: Final answer
    x = 81,356.86

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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.