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Finding the Fourth Proportional to 210,842.37, 290,969.37 and 120,196.71

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Solution

The fourth proportional to 210,842.37, 290,969.37 and 120,196.71 is: 165,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,842.37 : 290,969.37 = 120,196.71 : x
  2. Step 2: Convert to fraction form
    210,842.37/290,969.37 = 120,196.71/x
  3. Step 3: Cross multiply
    210,842.37x = 290,969.37 × 120,196.71
  4. Step 4: Simplify right side
    210,842.37x = 34,973,560,984.77
  5. Step 5: Solve for x
    x = 34,973,560,984.77/210,842.37
  6. Step 6: Final answer
    x = 165,875.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.