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Finding the Fourth Proportional to 287,083.40, 430,625.10 and 182,107.40

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Solution

The fourth proportional to 287,083.40, 430,625.10 and 182,107.40 is: 273,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,083.40 : 430,625.10 = 182,107.40 : x
  2. Step 2: Convert to fraction form
    287,083.40/430,625.10 = 182,107.40/x
  3. Step 3: Cross multiply
    287,083.40x = 430,625.10 × 182,107.40
  4. Step 4: Simplify right side
    287,083.40x = 78,420,017,335.74
  5. Step 5: Solve for x
    x = 78,420,017,335.74/287,083.40
  6. Step 6: Final answer
    x = 273,161.10

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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.