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Finding the Fourth Proportional to 281,778.72, 388,867.68 and 154,464

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Solution

The fourth proportional to 281,778.72, 388,867.68 and 154,464 is: 213,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,778.72 : 388,867.68 = 154,464 : x
  2. Step 2: Convert to fraction form
    281,778.72/388,867.68 = 154,464/x
  3. Step 3: Cross multiply
    281,778.72x = 388,867.68 × 154,464
  4. Step 4: Simplify right side
    281,778.72x = 60,066,057,323.52
  5. Step 5: Solve for x
    x = 60,066,057,323.52/281,778.72
  6. Step 6: Final answer
    x = 213,167.47

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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.