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Finding the Fourth Proportional to 343,204.60, 514,904.10 and 106,571.20

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Solution

The fourth proportional to 343,204.60, 514,904.10 and 106,571.20 is: 159,886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,204.60 : 514,904.10 = 106,571.20 : x
  2. Step 2: Convert to fraction form
    343,204.60/514,904.10 = 106,571.20/x
  3. Step 3: Cross multiply
    343,204.60x = 514,904.10 × 106,571.20
  4. Step 4: Simplify right side
    343,204.60x = 54,873,947,821.92
  5. Step 5: Solve for x
    x = 54,873,947,821.92/343,204.60
  6. Step 6: Final answer
    x = 159,886.98

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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.