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Finding the Fourth Proportional to 123,478.14, 185,107.22 and 44,574.81

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Solution

The fourth proportional to 123,478.14, 185,107.22 and 44,574.81 is: 66,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,478.14 : 185,107.22 = 44,574.81 : x
  2. Step 2: Convert to fraction form
    123,478.14/185,107.22 = 44,574.81/x
  3. Step 3: Cross multiply
    123,478.14x = 185,107.22 × 44,574.81
  4. Step 4: Simplify right side
    123,478.14x = 8,251,118,938.25
  5. Step 5: Solve for x
    x = 8,251,118,938.25/123,478.14
  6. Step 6: Final answer
    x = 66,822.51

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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.