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Finding the Fourth Proportional to 138,465.80, 207,682.23 and 44,971.46

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Solution

The fourth proportional to 138,465.80, 207,682.23 and 44,971.46 is: 67,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465.80 : 207,682.23 = 44,971.46 : x
  2. Step 2: Convert to fraction form
    138,465.80/207,682.23 = 44,971.46/x
  3. Step 3: Cross multiply
    138,465.80x = 207,682.23 × 44,971.46
  4. Step 4: Simplify right side
    138,465.80x = 9,339,773,099.16
  5. Step 5: Solve for x
    x = 9,339,773,099.16/138,465.80
  6. Step 6: Final answer
    x = 67,451.84

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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.