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Finding the Fourth Proportional to 343,033.43, 514,599.96 and 106,395.17

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Solution

The fourth proportional to 343,033.43, 514,599.96 and 106,395.17 is: 159,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,033.43 : 514,599.96 = 106,395.17 : x
  2. Step 2: Convert to fraction form
    343,033.43/514,599.96 = 106,395.17/x
  3. Step 3: Cross multiply
    343,033.43x = 514,599.96 × 106,395.17
  4. Step 4: Simplify right side
    343,033.43x = 54,750,950,226.19
  5. Step 5: Solve for x
    x = 54,750,950,226.19/343,033.43
  6. Step 6: Final answer
    x = 159,608.21

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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.