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Finding the Fourth Proportional to 516,858.33, 775,302.09 and 142,881.33

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Solution

The fourth proportional to 516,858.33, 775,302.09 and 142,881.33 is: 214,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,858.33 : 775,302.09 = 142,881.33 : x
  2. Step 2: Convert to fraction form
    516,858.33/775,302.09 = 142,881.33/x
  3. Step 3: Cross multiply
    516,858.33x = 775,302.09 × 142,881.33
  4. Step 4: Simplify right side
    516,858.33x = 110,776,193,770.98
  5. Step 5: Solve for x
    x = 110,776,193,770.98/516,858.33
  6. Step 6: Final answer
    x = 214,326.03

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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.