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Finding the Fourth Proportional to 344,093.78, 516,140.48 and 107,456.74

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Solution

The fourth proportional to 344,093.78, 516,140.48 and 107,456.74 is: 161,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,093.78 : 516,140.48 = 107,456.74 : x
  2. Step 2: Convert to fraction form
    344,093.78/516,140.48 = 107,456.74/x
  3. Step 3: Cross multiply
    344,093.78x = 516,140.48 × 107,456.74
  4. Step 4: Simplify right side
    344,093.78x = 55,462,773,362.84
  5. Step 5: Solve for x
    x = 55,462,773,362.84/344,093.78
  6. Step 6: Final answer
    x = 161,185.05

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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.