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Finding the Fourth Proportional to 153,846.20, 230,834.10 and 83,775.80

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Solution

The fourth proportional to 153,846.20, 230,834.10 and 83,775.80 is: 125,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.20 : 230,834.10 = 83,775.80 : x
  2. Step 2: Convert to fraction form
    153,846.20/230,834.10 = 83,775.80/x
  3. Step 3: Cross multiply
    153,846.20x = 230,834.10 × 83,775.80
  4. Step 4: Simplify right side
    153,846.20x = 19,338,311,394.78
  5. Step 5: Solve for x
    x = 19,338,311,394.78/153,846.20
  6. Step 6: Final answer
    x = 125,698.99

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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.