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Finding the Fourth Proportional to 344,096.80, 516,144.96 and 107,459.76

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Solution

The fourth proportional to 344,096.80, 516,144.96 and 107,459.76 is: 161,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,096.80 : 516,144.96 = 107,459.76 : x
  2. Step 2: Convert to fraction form
    344,096.80/516,144.96 = 107,459.76/x
  3. Step 3: Cross multiply
    344,096.80x = 516,144.96 × 107,459.76
  4. Step 4: Simplify right side
    344,096.80x = 55,464,813,526.81
  5. Step 5: Solve for x
    x = 55,464,813,526.81/344,096.80
  6. Step 6: Final answer
    x = 161,189.57

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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.