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Finding the Fourth Proportional to 119,164.94, 164,450.58 and 65,454.96

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Solution

The fourth proportional to 119,164.94, 164,450.58 and 65,454.96 is: 90,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.94 : 164,450.58 = 65,454.96 : x
  2. Step 2: Convert to fraction form
    119,164.94/164,450.58 = 65,454.96/x
  3. Step 3: Cross multiply
    119,164.94x = 164,450.58 × 65,454.96
  4. Step 4: Simplify right side
    119,164.94x = 10,764,106,135.88
  5. Step 5: Solve for x
    x = 10,764,106,135.88/119,164.94
  6. Step 6: Final answer
    x = 90,329.47

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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.