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Finding the Fourth Proportional to 343,208.60, 514,910.10 and 106,575.20

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Solution

The fourth proportional to 343,208.60, 514,910.10 and 106,575.20 is: 159,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,208.60 : 514,910.10 = 106,575.20 : x
  2. Step 2: Convert to fraction form
    343,208.60/514,910.10 = 106,575.20/x
  3. Step 3: Cross multiply
    343,208.60x = 514,910.10 × 106,575.20
  4. Step 4: Simplify right side
    343,208.60x = 54,876,646,889.52
  5. Step 5: Solve for x
    x = 54,876,646,889.52/343,208.60
  6. Step 6: Final answer
    x = 159,892.98

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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.