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Finding the Fourth Proportional to 344,090.78, 516,141.35 and 119,458.34

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Solution

The fourth proportional to 344,090.78, 516,141.35 and 119,458.34 is: 179,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,090.78 : 516,141.35 = 119,458.34 : x
  2. Step 2: Convert to fraction form
    344,090.78/516,141.35 = 119,458.34/x
  3. Step 3: Cross multiply
    344,090.78x = 516,141.35 × 119,458.34
  4. Step 4: Simplify right side
    344,090.78x = 61,657,388,876.36
  5. Step 5: Solve for x
    x = 61,657,388,876.36/344,090.78
  6. Step 6: Final answer
    x = 179,189.31

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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.