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Finding the Fourth Proportional to 153,846.80, 230,770.20 and 83,862.80

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Solution

The fourth proportional to 153,846.80, 230,770.20 and 83,862.80 is: 125,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.80 : 230,770.20 = 83,862.80 : x
  2. Step 2: Convert to fraction form
    153,846.80/230,770.20 = 83,862.80/x
  3. Step 3: Cross multiply
    153,846.80x = 230,770.20 × 83,862.80
  4. Step 4: Simplify right side
    153,846.80x = 19,353,035,128.56
  5. Step 5: Solve for x
    x = 19,353,035,128.56/153,846.80
  6. Step 6: Final answer
    x = 125,794.20

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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.