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Finding the Fourth Proportional to 145,065.80, 217,598.70 and 82,742.60

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Solution

The fourth proportional to 145,065.80, 217,598.70 and 82,742.60 is: 124,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,065.80 : 217,598.70 = 82,742.60 : x
  2. Step 2: Convert to fraction form
    145,065.80/217,598.70 = 82,742.60/x
  3. Step 3: Cross multiply
    145,065.80x = 217,598.70 × 82,742.60
  4. Step 4: Simplify right side
    145,065.80x = 18,004,682,194.62
  5. Step 5: Solve for x
    x = 18,004,682,194.62/145,065.80
  6. Step 6: Final answer
    x = 124,113.90

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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.