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Finding the Fourth Proportional to 343,129.18, 514,727.04 and 106,408.30

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Solution

The fourth proportional to 343,129.18, 514,727.04 and 106,408.30 is: 159,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,129.18 : 514,727.04 = 106,408.30 : x
  2. Step 2: Convert to fraction form
    343,129.18/514,727.04 = 106,408.30/x
  3. Step 3: Cross multiply
    343,129.18x = 514,727.04 × 106,408.30
  4. Step 4: Simplify right side
    343,129.18x = 54,771,229,290.43
  5. Step 5: Solve for x
    x = 54,771,229,290.43/343,129.18
  6. Step 6: Final answer
    x = 159,622.77

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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.