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Finding the Fourth Proportional to 145,907.80, 201,355.84 and 82,245.58

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Solution

The fourth proportional to 145,907.80, 201,355.84 and 82,245.58 is: 113,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,907.80 : 201,355.84 = 82,245.58 : x
  2. Step 2: Convert to fraction form
    145,907.80/201,355.84 = 82,245.58/x
  3. Step 3: Cross multiply
    145,907.80x = 201,355.84 × 82,245.58
  4. Step 4: Simplify right side
    145,907.80x = 16,560,627,446.60
  5. Step 5: Solve for x
    x = 16,560,627,446.60/145,907.80
  6. Step 6: Final answer
    x = 113,500.63

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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.