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Finding the Fourth Proportional to 280,414.62, 386,954.16 and 153,089.94

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Solution

The fourth proportional to 280,414.62, 386,954.16 and 153,089.94 is: 211,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,414.62 : 386,954.16 = 153,089.94 : x
  2. Step 2: Convert to fraction form
    280,414.62/386,954.16 = 153,089.94/x
  3. Step 3: Cross multiply
    280,414.62x = 386,954.16 × 153,089.94
  4. Step 4: Simplify right side
    280,414.62x = 59,238,789,137.15
  5. Step 5: Solve for x
    x = 59,238,789,137.15/280,414.62
  6. Step 6: Final answer
    x = 211,254.28

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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.