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Finding the Fourth Proportional to 275,489.38, 380,146.14 and 154,643.98

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Solution

The fourth proportional to 275,489.38, 380,146.14 and 154,643.98 is: 213,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,489.38 : 380,146.14 = 154,643.98 : x
  2. Step 2: Convert to fraction form
    275,489.38/380,146.14 = 154,643.98/x
  3. Step 3: Cross multiply
    275,489.38x = 380,146.14 × 154,643.98
  4. Step 4: Simplify right side
    275,489.38x = 58,787,312,071.24
  5. Step 5: Solve for x
    x = 58,787,312,071.24/275,489.38
  6. Step 6: Final answer
    x = 213,392.30

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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.