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Finding the Fourth Proportional to 343,096.52, 514,628.94 and 93,777.80

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Solution

The fourth proportional to 343,096.52, 514,628.94 and 93,777.80 is: 140,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,096.52 : 514,628.94 = 93,777.80 : x
  2. Step 2: Convert to fraction form
    343,096.52/514,628.94 = 93,777.80/x
  3. Step 3: Cross multiply
    343,096.52x = 514,628.94 × 93,777.80
  4. Step 4: Simplify right side
    343,096.52x = 48,260,769,809.53
  5. Step 5: Solve for x
    x = 48,260,769,809.53/343,096.52
  6. Step 6: Final answer
    x = 140,662.37

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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.