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Finding the Fourth Proportional to 252,069.94, 378,084.12 and 83,535.22

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Solution

The fourth proportional to 252,069.94, 378,084.12 and 83,535.22 is: 125,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,069.94 : 378,084.12 = 83,535.22 : x
  2. Step 2: Convert to fraction form
    252,069.94/378,084.12 = 83,535.22/x
  3. Step 3: Cross multiply
    252,069.94x = 378,084.12 × 83,535.22
  4. Step 4: Simplify right side
    252,069.94x = 31,583,340,142.71
  5. Step 5: Solve for x
    x = 31,583,340,142.71/252,069.94
  6. Step 6: Final answer
    x = 125,295.94

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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.